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Finding the Third Proportional to 49,923 and 106,866

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Solution

The third proportional to 49,923 and 106,866 is: 228,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,923 : 106,866 = 106,866 : x
  2. Step 2: Convert to fraction form
    49,923/106,866 = 106,866/x
  3. Step 3: Cross multiply
    49,923x = 106,866 × 106,866
  4. Step 4: Simplify right side
    49,923x = 11,420,341,956
  5. Step 5: Solve for x
    x = 11,420,341,956/49,923
  6. Step 6: Final answer
    x = 228,759.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.