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Finding the Third Proportional to 49,673 and 108,269

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Solution

The third proportional to 49,673 and 108,269 is: 235,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,673 : 108,269 = 108,269 : x
  2. Step 2: Convert to fraction form
    49,673/108,269 = 108,269/x
  3. Step 3: Cross multiply
    49,673x = 108,269 × 108,269
  4. Step 4: Simplify right side
    49,673x = 11,722,176,361
  5. Step 5: Solve for x
    x = 11,722,176,361/49,673
  6. Step 6: Final answer
    x = 235,986.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.