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Finding the Third Proportional to 49,311 and 108,675

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Solution

The third proportional to 49,311 and 108,675 is: 239,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,311 : 108,675 = 108,675 : x
  2. Step 2: Convert to fraction form
    49,311/108,675 = 108,675/x
  3. Step 3: Cross multiply
    49,311x = 108,675 × 108,675
  4. Step 4: Simplify right side
    49,311x = 11,810,255,625
  5. Step 5: Solve for x
    x = 11,810,255,625/49,311
  6. Step 6: Final answer
    x = 239,505.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.