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Finding the Third Proportional to 52,560 and 81,609

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Solution

The third proportional to 52,560 and 81,609 is: 126,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,560 : 81,609 = 81,609 : x
  2. Step 2: Convert to fraction form
    52,560/81,609 = 81,609/x
  3. Step 3: Cross multiply
    52,560x = 81,609 × 81,609
  4. Step 4: Simplify right side
    52,560x = 6,660,028,881
  5. Step 5: Solve for x
    x = 6,660,028,881/52,560
  6. Step 6: Final answer
    x = 126,712.88

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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.