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Finding the Third Proportional to 87,776 and 132,438

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Solution

The third proportional to 87,776 and 132,438 is: 199,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,776 : 132,438 = 132,438 : x
  2. Step 2: Convert to fraction form
    87,776/132,438 = 132,438/x
  3. Step 3: Cross multiply
    87,776x = 132,438 × 132,438
  4. Step 4: Simplify right side
    87,776x = 17,539,823,844
  5. Step 5: Solve for x
    x = 17,539,823,844/87,776
  6. Step 6: Final answer
    x = 199,824.83

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Why These Related Problems?

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