Proving Ratios And Proportions

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Help me solve this problem! I have tried it many times but nothing appeared. This is the question: If a:b=c:d=e:f, prove that each is equal to (a+c-e):(b+d-f).

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Let $$\frac ab=\frac cd=\frac ef=k$$

$\implies Xa+Yc+Ze=k(Xb+Yd+Zd)$