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Finding the Third Proportional to 49,166 and 106,676

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Solution

The third proportional to 49,166 and 106,676 is: 231,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,166 : 106,676 = 106,676 : x
  2. Step 2: Convert to fraction form
    49,166/106,676 = 106,676/x
  3. Step 3: Cross multiply
    49,166x = 106,676 × 106,676
  4. Step 4: Simplify right side
    49,166x = 11,379,768,976
  5. Step 5: Solve for x
    x = 11,379,768,976/49,166
  6. Step 6: Final answer
    x = 231,456.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.