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Finding the Third Proportional to 60,626 and 131,744

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Solution

The third proportional to 60,626 and 131,744 is: 286,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,626 : 131,744 = 131,744 : x
  2. Step 2: Convert to fraction form
    60,626/131,744 = 131,744/x
  3. Step 3: Cross multiply
    60,626x = 131,744 × 131,744
  4. Step 4: Simplify right side
    60,626x = 17,356,481,536
  5. Step 5: Solve for x
    x = 17,356,481,536/60,626
  6. Step 6: Final answer
    x = 286,287.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.