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A fully realistic unified theory is constructed, with SU(5) gauge symmetryand supersymmetry both broken by boundary conditions in a fifth dimension.Despite the local explicit breaking of SU(5) at a boundary of the dimension,the large size of the extra dimension allows precise predictions for gaugecoupling unification, alpha_s(M_Z) = 0.118 \pm 0.003, and for Yukawa couplingunification, m_b(M_Z) = 3.3 \pm 0.2 GeV. A complete understanding of the MSSMHiggs sector is given; with explanations for why the Higgs triplets are heavy,why the Higgs doublets are protected from a large tree-level mass, and why themu and B parameters are naturally generated to be of order the SUSY breakingscale. All sources of d=4,5 proton decay are forbidden, while a new origin ford=6 proton decay is found to be important. Several aspects of flavor followfrom an essentially unique choice of matter location in the fifth dimension:only the third generation has an SU(5) mass relation, and the lighter twogenerations have small mixings with the heaviest generation. The entiresuperpartner spectrum is predicted in terms of only two free parameters. Thesquark and slepton masses are determined by their location in the fifthdimension, allowing a significant experimental test of the detailed structureof the extra dimension. Lepton flavor violation is found to be genericallylarge in higher dimensional unified theories with high mediation scales of SUSYbreaking. In our theory this forces a common location for all three neutrinos,predicting large neutrino mixing angles. Rates for mu -> e gamma, mu -> e e e,mu -> e conversion and tau -> mu gamma are larger in our theory than inconventional 4D supersymmetric GUTs. Proposed experiments probing mu -> etransitions will probe the entire interesting parameter space of our theory.Comment: 51 pages, late

Complete theory of grand unification in five dimensions