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Finding the Third Proportional to 87,842 and 132,535

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Solution

The third proportional to 87,842 and 132,535 is: 199,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,842 : 132,535 = 132,535 : x
  2. Step 2: Convert to fraction form
    87,842/132,535 = 132,535/x
  3. Step 3: Cross multiply
    87,842x = 132,535 × 132,535
  4. Step 4: Simplify right side
    87,842x = 17,565,526,225
  5. Step 5: Solve for x
    x = 17,565,526,225/87,842
  6. Step 6: Final answer
    x = 199,967.28

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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.