Question 1156822
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<pre>

{{{(AP)/(PQ)}}} = {{{2/3}}} = {{{10/15}}},


{{{(PQ)/(QB)}}} = {{{5/8}}} = {{{15/24}}}.


Notice that I presented fractions in EQUIVALENT form and in a way that the term PQ has the same measure in both fractions.


Now  AP : PQ : QB = 10 : 15 : 24  is the presentation the problem asks for.    <U>ANSWER</U>
</pre>

Solved.


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This problem is a matter of choice of appropriate measures for the participating terms.