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Finding the Third Proportional to 87,332 and 187,126

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Solution

The third proportional to 87,332 and 187,126 is: 400,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,332 : 187,126 = 187,126 : x
  2. Step 2: Convert to fraction form
    87,332/187,126 = 187,126/x
  3. Step 3: Cross multiply
    87,332x = 187,126 × 187,126
  4. Step 4: Simplify right side
    87,332x = 35,016,139,876
  5. Step 5: Solve for x
    x = 35,016,139,876/87,332
  6. Step 6: Final answer
    x = 400,954.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.