Mitigate rhymes with:
castigate, instigate, investigate, abrogate, castigate, congregate, corrugate, delegate, desegregate, fumigate, instigate, interrogate, investigate, irrigate, koreagate, navigate, obligate, propagate, relegate, segregate, subjugate
Mitigate sounds like:
matched, matchett, matsuda, matsushita, mediaset, medicaid, medicate, medicated, mendacity, metagogued, methodist, mideast, midget, midgett, midgette, midsized, midst, midwest, mindset, mitigated, modesitt, modest, modesta, modestia, modesto, modesty, modisette, monteagudo, mudgett