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Inthe picture, points 'P, Qs R' are mark...

Inthe picture, points 'P, Q_s R' are marked on the sides 'BC, CA, AB' of '/_\ ABC' and the circumcircles of '/_\ A Q R' and '/_\ B R P' are drawn. M, is a point where these circles intersect. Prove that the circumcircle of '/_\' CPQ also passes through 'M' is a point where these circless intersect.
'(##VPU_TTT_MAT_X_P01_C02_E05_007_Q01##)'

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