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Finding the Third Proportional to 83,269 and 126,975

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Solution

The third proportional to 83,269 and 126,975 is: 193,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,269 : 126,975 = 126,975 : x
  2. Step 2: Convert to fraction form
    83,269/126,975 = 126,975/x
  3. Step 3: Cross multiply
    83,269x = 126,975 × 126,975
  4. Step 4: Simplify right side
    83,269x = 16,122,650,625
  5. Step 5: Solve for x
    x = 16,122,650,625/83,269
  6. Step 6: Final answer
    x = 193,621.28

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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.