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Finding the Third Proportional to 85,165.31 and 132,244.88

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Solution

The third proportional to 85,165.31 and 132,244.88 is: 205,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,165.31 : 132,244.88 = 132,244.88 : x
  2. Step 2: Convert to fraction form
    85,165.31/132,244.88 = 132,244.88/x
  3. Step 3: Cross multiply
    85,165.31x = 132,244.88 × 132,244.88
  4. Step 4: Simplify right side
    85,165.31x = 17,488,706,963.77
  5. Step 5: Solve for x
    x = 17,488,706,963.77/85,165.31
  6. Step 6: Final answer
    x = 205,350.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.