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Finding the Third Proportional to 83,266 and 126,974

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Solution

The third proportional to 83,266 and 126,974 is: 193,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266 : 126,974 = 126,974 : x
  2. Step 2: Convert to fraction form
    83,266/126,974 = 126,974/x
  3. Step 3: Cross multiply
    83,266x = 126,974 × 126,974
  4. Step 4: Simplify right side
    83,266x = 16,122,396,676
  5. Step 5: Solve for x
    x = 16,122,396,676/83,266
  6. Step 6: Final answer
    x = 193,625.21

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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.