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Finding the Third Proportional to 87,775 and 132,437

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Solution

The third proportional to 87,775 and 132,437 is: 199,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,775 : 132,437 = 132,437 : x
  2. Step 2: Convert to fraction form
    87,775/132,437 = 132,437/x
  3. Step 3: Cross multiply
    87,775x = 132,437 × 132,437
  4. Step 4: Simplify right side
    87,775x = 17,539,558,969
  5. Step 5: Solve for x
    x = 17,539,558,969/87,775
  6. Step 6: Final answer
    x = 199,824.08

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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.