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Finding the Third Proportional to 87,382 and 138,581

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Solution

The third proportional to 87,382 and 138,581 is: 219,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,382 : 138,581 = 138,581 : x
  2. Step 2: Convert to fraction form
    87,382/138,581 = 138,581/x
  3. Step 3: Cross multiply
    87,382x = 138,581 × 138,581
  4. Step 4: Simplify right side
    87,382x = 19,204,693,561
  5. Step 5: Solve for x
    x = 19,204,693,561/87,382
  6. Step 6: Final answer
    x = 219,778.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.