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Finding the Third Proportional to 87,343.88 and 187,138.13

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Solution

The third proportional to 87,343.88 and 187,138.13 is: 400,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,343.88 : 187,138.13 = 187,138.13 : x
  2. Step 2: Convert to fraction form
    87,343.88/187,138.13 = 187,138.13/x
  3. Step 3: Cross multiply
    87,343.88x = 187,138.13 × 187,138.13
  4. Step 4: Simplify right side
    87,343.88x = 35,020,677,828.52
  5. Step 5: Solve for x
    x = 35,020,677,828.52/87,343.88
  6. Step 6: Final answer
    x = 400,951.73

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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.