  Relations among the baryon magnetic and transition magnetic moments are
derived in the $1/N_c$ expansion. Relations which hold to ALL ORDERS in $SU(3)$
breaking and to leading and first subleading orders in the $1/N_c$ expansion
are obtained. Additional relations are found which are valid up to $SU(3)$
breaking at first subleading order in the $1/N_c$ expansion. The experimental
accuracy of these relations fits the pattern predicted by the $1/N_c$
expansion. The predictions of the $1/N_c$ expansion are compared in detail with
those of the non-relativistic quark model. The $1/N_c$ expansion explains why
certain quark model relations work to greater accuracy than others.
