Finding the Third Proportional to 86,314 and 116,616
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Solution
The third proportional to 86,314 and 116,616 is: 157,556.03
Step by Step Solution
- Step 1: Write the proportion equation
86,314 : 116,616 = 116,616 : x - Step 2: Convert to fraction form
86,314/116,616 = 116,616/x - Step 3: Cross multiply
86,314x = 116,616 × 116,616 - Step 4: Simplify right side
86,314x = 13,599,291,456 - Step 5: Solve for x
x = 13,599,291,456/86,314 - Step 6: Final answer
x = 157,556.03
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.