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Finding the Third Proportional to 49,221 and 106,677

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Solution

The third proportional to 49,221 and 106,677 is: 231,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,221 : 106,677 = 106,677 : x
  2. Step 2: Convert to fraction form
    49,221/106,677 = 106,677/x
  3. Step 3: Cross multiply
    49,221x = 106,677 × 106,677
  4. Step 4: Simplify right side
    49,221x = 11,379,982,329
  5. Step 5: Solve for x
    x = 11,379,982,329/49,221
  6. Step 6: Final answer
    x = 231,201.77

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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.