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Finding the Third Proportional to 87,452.25 and 135,043.31

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Solution

The third proportional to 87,452.25 and 135,043.31 is: 208,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,452.25 : 135,043.31 = 135,043.31 : x
  2. Step 2: Convert to fraction form
    87,452.25/135,043.31 = 135,043.31/x
  3. Step 3: Cross multiply
    87,452.25x = 135,043.31 × 135,043.31
  4. Step 4: Simplify right side
    87,452.25x = 18,236,696,250.97
  5. Step 5: Solve for x
    x = 18,236,696,250.97/87,452.25
  6. Step 6: Final answer
    x = 208,533.19

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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.