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Finding the Third Proportional to 50,832 and 107,472

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Solution

The third proportional to 50,832 and 107,472 is: 227,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,832 : 107,472 = 107,472 : x
  2. Step 2: Convert to fraction form
    50,832/107,472 = 107,472/x
  3. Step 3: Cross multiply
    50,832x = 107,472 × 107,472
  4. Step 4: Simplify right side
    50,832x = 11,550,230,784
  5. Step 5: Solve for x
    x = 11,550,230,784/50,832
  6. Step 6: Final answer
    x = 227,223.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.