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Finding the Third Proportional to 57,364 and 125,744

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Solution

The third proportional to 57,364 and 125,744 is: 275,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,364 : 125,744 = 125,744 : x
  2. Step 2: Convert to fraction form
    57,364/125,744 = 125,744/x
  3. Step 3: Cross multiply
    57,364x = 125,744 × 125,744
  4. Step 4: Simplify right side
    57,364x = 15,811,553,536
  5. Step 5: Solve for x
    x = 15,811,553,536/57,364
  6. Step 6: Final answer
    x = 275,635.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.