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Finding the Third Proportional to 87,532.31 and 135,180.56

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Solution

The third proportional to 87,532.31 and 135,180.56 is: 208,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,532.31 : 135,180.56 = 135,180.56 : x
  2. Step 2: Convert to fraction form
    87,532.31/135,180.56 = 135,180.56/x
  3. Step 3: Cross multiply
    87,532.31x = 135,180.56 × 135,180.56
  4. Step 4: Simplify right side
    87,532.31x = 18,273,784,477.82
  5. Step 5: Solve for x
    x = 18,273,784,477.82/87,532.31
  6. Step 6: Final answer
    x = 208,766.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.