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Finding the Third Proportional to 87,342 and 131,736

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Solution

The third proportional to 87,342 and 131,736 is: 198,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,342 : 131,736 = 131,736 : x
  2. Step 2: Convert to fraction form
    87,342/131,736 = 131,736/x
  3. Step 3: Cross multiply
    87,342x = 131,736 × 131,736
  4. Step 4: Simplify right side
    87,342x = 17,354,373,696
  5. Step 5: Solve for x
    x = 17,354,373,696/87,342
  6. Step 6: Final answer
    x = 198,694.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.