Migrant rhymes with:
emigrant, flagrant, fragrant, immigrant, vagrant, aberrant, abhorrent, adherent, apparent, arant, aren't, arent, arrant, berent, bondurant, burandt, celebrant, coherent, courant, declarant, deterrent, durant, durrant, emerant, emigrant, entrant, errant, farrant, ferrant, flagrant, fragrant, garant, garrabrant, grandparent, guerrant, hildebrandt, hildebrant, hilderbrandt, homefront, hydrant, immigrant, incoherent, indifferent, inherent, laurent, milbrandt, morant, parent, parrent, quadrant, recalcitrant, registrant, sarant, seafront, st_laurent, tarrant, torrent, transparent, tyrant, vagrant, vibrant, warrant
Migrant sounds like:
macromedia, measurement, miscreant, monogrammed, mushroomed