If \( \frac{p}{q}=\frac{r}{s}=\frac{t}{u} \), prove that \[ \frac{p^{2}-p r+t^{2}}{q^{2}-q s+u^{...
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If \( \frac{p}{q}=\frac{r}{s}=\frac{t}{u} \), prove that
\[
\frac{p^{2}-p r+t^{2}}{q^{2}-q s+u^{2}}=\frac{p t}{q u}
\]
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