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Finding the Third Proportional to 87,733.13 and 135,788.91

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Solution

The third proportional to 87,733.13 and 135,788.91 is: 210,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,733.13 : 135,788.91 = 135,788.91 : x
  2. Step 2: Convert to fraction form
    87,733.13/135,788.91 = 135,788.91/x
  3. Step 3: Cross multiply
    87,733.13x = 135,788.91 × 135,788.91
  4. Step 4: Simplify right side
    87,733.13x = 18,438,627,060.57
  5. Step 5: Solve for x
    x = 18,438,627,060.57/87,733.13
  6. Step 6: Final answer
    x = 210,167.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.