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Finding the Third Proportional to 87,785.25 and 132,952.50

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Solution

The third proportional to 87,785.25 and 132,952.50 is: 201,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,785.25 : 132,952.50 = 132,952.50 : x
  2. Step 2: Convert to fraction form
    87,785.25/132,952.50 = 132,952.50/x
  3. Step 3: Cross multiply
    87,785.25x = 132,952.50 × 132,952.50
  4. Step 4: Simplify right side
    87,785.25x = 17,676,367,256.25
  5. Step 5: Solve for x
    x = 17,676,367,256.25/87,785.25
  6. Step 6: Final answer
    x = 201,359.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.