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Finding the Third Proportional to 54,432.75 and 82,469.25

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Solution

The third proportional to 54,432.75 and 82,469.25 is: 124,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,432.75 : 82,469.25 = 82,469.25 : x
  2. Step 2: Convert to fraction form
    54,432.75/82,469.25 = 82,469.25/x
  3. Step 3: Cross multiply
    54,432.75x = 82,469.25 × 82,469.25
  4. Step 4: Simplify right side
    54,432.75x = 6,801,177,195.56
  5. Step 5: Solve for x
    x = 6,801,177,195.56/54,432.75
  6. Step 6: Final answer
    x = 124,946.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.