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Finding the Third Proportional to 81,812 and 126,453

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Solution

The third proportional to 81,812 and 126,453 is: 195,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812 : 126,453 = 126,453 : x
  2. Step 2: Convert to fraction form
    81,812/126,453 = 126,453/x
  3. Step 3: Cross multiply
    81,812x = 126,453 × 126,453
  4. Step 4: Simplify right side
    81,812x = 15,990,361,209
  5. Step 5: Solve for x
    x = 15,990,361,209/81,812
  6. Step 6: Final answer
    x = 195,452.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.