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Finding the Third Proportional to 49,882 and 106,676

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Solution

The third proportional to 49,882 and 106,676 is: 228,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882 : 106,676 = 106,676 : x
  2. Step 2: Convert to fraction form
    49,882/106,676 = 106,676/x
  3. Step 3: Cross multiply
    49,882x = 106,676 × 106,676
  4. Step 4: Simplify right side
    49,882x = 11,379,768,976
  5. Step 5: Solve for x
    x = 11,379,768,976/49,882
  6. Step 6: Final answer
    x = 228,133.78

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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.