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Finding the Third Proportional to 80,898 and 126,629

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Solution

The third proportional to 80,898 and 126,629 is: 198,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,898 : 126,629 = 126,629 : x
  2. Step 2: Convert to fraction form
    80,898/126,629 = 126,629/x
  3. Step 3: Cross multiply
    80,898x = 126,629 × 126,629
  4. Step 4: Simplify right side
    80,898x = 16,034,903,641
  5. Step 5: Solve for x
    x = 16,034,903,641/80,898
  6. Step 6: Final answer
    x = 198,211.37

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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.