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Finding the Third Proportional to 87,827.41 and 131,500.97

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Solution

The third proportional to 87,827.41 and 131,500.97 is: 196,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,827.41 : 131,500.97 = 131,500.97 : x
  2. Step 2: Convert to fraction form
    87,827.41/131,500.97 = 131,500.97/x
  3. Step 3: Cross multiply
    87,827.41x = 131,500.97 × 131,500.97
  4. Step 4: Simplify right side
    87,827.41x = 17,292,504,782.19
  5. Step 5: Solve for x
    x = 17,292,504,782.19/87,827.41
  6. Step 6: Final answer
    x = 196,891.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.