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Finding the Third Proportional to 50,404 and 107,180

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Solution

The third proportional to 50,404 and 107,180 is: 227,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,404 : 107,180 = 107,180 : x
  2. Step 2: Convert to fraction form
    50,404/107,180 = 107,180/x
  3. Step 3: Cross multiply
    50,404x = 107,180 × 107,180
  4. Step 4: Simplify right side
    50,404x = 11,487,552,400
  5. Step 5: Solve for x
    x = 11,487,552,400/50,404
  6. Step 6: Final answer
    x = 227,909.54

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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.