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Finding the Third Proportional to 87,384 and 131,508

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Solution

The third proportional to 87,384 and 131,508 is: 197,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,384 : 131,508 = 131,508 : x
  2. Step 2: Convert to fraction form
    87,384/131,508 = 131,508/x
  3. Step 3: Cross multiply
    87,384x = 131,508 × 131,508
  4. Step 4: Simplify right side
    87,384x = 17,294,354,064
  5. Step 5: Solve for x
    x = 17,294,354,064/87,384
  6. Step 6: Final answer
    x = 197,912.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.