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Finding the Third Proportional to 80,944 and 126,702

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Solution

The third proportional to 80,944 and 126,702 is: 198,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,944 : 126,702 = 126,702 : x
  2. Step 2: Convert to fraction form
    80,944/126,702 = 126,702/x
  3. Step 3: Cross multiply
    80,944x = 126,702 × 126,702
  4. Step 4: Simplify right side
    80,944x = 16,053,396,804
  5. Step 5: Solve for x
    x = 16,053,396,804/80,944
  6. Step 6: Final answer
    x = 198,327.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.