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Finding the Third Proportional to 83,291.63 and 132,472.13

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Solution

The third proportional to 83,291.63 and 132,472.13 is: 210,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,291.63 : 132,472.13 = 132,472.13 : x
  2. Step 2: Convert to fraction form
    83,291.63/132,472.13 = 132,472.13/x
  3. Step 3: Cross multiply
    83,291.63x = 132,472.13 × 132,472.13
  4. Step 4: Simplify right side
    83,291.63x = 17,548,863,902.02
  5. Step 5: Solve for x
    x = 17,548,863,902.02/83,291.63
  6. Step 6: Final answer
    x = 210,691.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.