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Finding the Third Proportional to 87,730.59 and 141,277.92

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Solution

The third proportional to 87,730.59 and 141,277.92 is: 227,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,730.59 : 141,277.92 = 141,277.92 : x
  2. Step 2: Convert to fraction form
    87,730.59/141,277.92 = 141,277.92/x
  3. Step 3: Cross multiply
    87,730.59x = 141,277.92 × 141,277.92
  4. Step 4: Simplify right side
    87,730.59x = 19,959,451,209.32
  5. Step 5: Solve for x
    x = 19,959,451,209.32/87,730.59
  6. Step 6: Final answer
    x = 227,508.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.