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Finding the Third Proportional to 54,452.50 and 81,701

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Solution

The third proportional to 54,452.50 and 81,701 is: 122,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,452.50 : 81,701 = 81,701 : x
  2. Step 2: Convert to fraction form
    54,452.50/81,701 = 81,701/x
  3. Step 3: Cross multiply
    54,452.50x = 81,701 × 81,701
  4. Step 4: Simplify right side
    54,452.50x = 6,675,053,401
  5. Step 5: Solve for x
    x = 6,675,053,401/54,452.50
  6. Step 6: Final answer
    x = 122,584.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.