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Finding the Third Proportional to 50,722 and 107,108

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Solution

The third proportional to 50,722 and 107,108 is: 226,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722 : 107,108 = 107,108 : x
  2. Step 2: Convert to fraction form
    50,722/107,108 = 107,108/x
  3. Step 3: Cross multiply
    50,722x = 107,108 × 107,108
  4. Step 4: Simplify right side
    50,722x = 11,472,123,664
  5. Step 5: Solve for x
    x = 11,472,123,664/50,722
  6. Step 6: Final answer
    x = 226,176.48

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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.