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Finding the Third Proportional to 52,557 and 81,599

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Solution

The third proportional to 52,557 and 81,599 is: 126,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,557 : 81,599 = 81,599 : x
  2. Step 2: Convert to fraction form
    52,557/81,599 = 81,599/x
  3. Step 3: Cross multiply
    52,557x = 81,599 × 81,599
  4. Step 4: Simplify right side
    52,557x = 6,658,396,801
  5. Step 5: Solve for x
    x = 6,658,396,801/52,557
  6. Step 6: Final answer
    x = 126,689.06

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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.