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Finding the Third Proportional to 87,760.13 and 185,979.38

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Solution

The third proportional to 87,760.13 and 185,979.38 is: 394,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,760.13 : 185,979.38 = 185,979.38 : x
  2. Step 2: Convert to fraction form
    87,760.13/185,979.38 = 185,979.38/x
  3. Step 3: Cross multiply
    87,760.13x = 185,979.38 × 185,979.38
  4. Step 4: Simplify right side
    87,760.13x = 34,588,327,925.39
  5. Step 5: Solve for x
    x = 34,588,327,925.39/87,760.13
  6. Step 6: Final answer
    x = 394,123.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.