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Finding the Third Proportional to 57,418.50 and 126,744

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Solution

The third proportional to 57,418.50 and 126,744 is: 279,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,418.50 : 126,744 = 126,744 : x
  2. Step 2: Convert to fraction form
    57,418.50/126,744 = 126,744/x
  3. Step 3: Cross multiply
    57,418.50x = 126,744 × 126,744
  4. Step 4: Simplify right side
    57,418.50x = 16,064,041,536
  5. Step 5: Solve for x
    x = 16,064,041,536/57,418.50
  6. Step 6: Final answer
    x = 279,771.18

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.