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Finding the Third Proportional to 50,024 and 106,744

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Solution

The third proportional to 50,024 and 106,744 is: 227,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,024 : 106,744 = 106,744 : x
  2. Step 2: Convert to fraction form
    50,024/106,744 = 106,744/x
  3. Step 3: Cross multiply
    50,024x = 106,744 × 106,744
  4. Step 4: Simplify right side
    50,024x = 11,394,281,536
  5. Step 5: Solve for x
    x = 11,394,281,536/50,024
  6. Step 6: Final answer
    x = 227,776.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.