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Finding the Third Proportional to 57,662.25 and 126,675

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Solution

The third proportional to 57,662.25 and 126,675 is: 278,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,662.25 : 126,675 = 126,675 : x
  2. Step 2: Convert to fraction form
    57,662.25/126,675 = 126,675/x
  3. Step 3: Cross multiply
    57,662.25x = 126,675 × 126,675
  4. Step 4: Simplify right side
    57,662.25x = 16,046,555,625
  5. Step 5: Solve for x
    x = 16,046,555,625/57,662.25
  6. Step 6: Final answer
    x = 278,285.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.