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Finding the Third Proportional to 50,800 and 107,744

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Solution

The third proportional to 50,800 and 107,744 is: 228,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,800 : 107,744 = 107,744 : x
  2. Step 2: Convert to fraction form
    50,800/107,744 = 107,744/x
  3. Step 3: Cross multiply
    50,800x = 107,744 × 107,744
  4. Step 4: Simplify right side
    50,800x = 11,608,769,536
  5. Step 5: Solve for x
    x = 11,608,769,536/50,800
  6. Step 6: Final answer
    x = 228,519.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.