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Finding the Third Proportional to 83,264 and 126,969

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Solution

The third proportional to 83,264 and 126,969 is: 193,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264 : 126,969 = 126,969 : x
  2. Step 2: Convert to fraction form
    83,264/126,969 = 126,969/x
  3. Step 3: Cross multiply
    83,264x = 126,969 × 126,969
  4. Step 4: Simplify right side
    83,264x = 16,121,126,961
  5. Step 5: Solve for x
    x = 16,121,126,961/83,264
  6. Step 6: Final answer
    x = 193,614.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.