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Finding the Third Proportional to 80,901 and 126,636

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Solution

The third proportional to 80,901 and 126,636 is: 198,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,901 : 126,636 = 126,636 : x
  2. Step 2: Convert to fraction form
    80,901/126,636 = 126,636/x
  3. Step 3: Cross multiply
    80,901x = 126,636 × 126,636
  4. Step 4: Simplify right side
    80,901x = 16,036,676,496
  5. Step 5: Solve for x
    x = 16,036,676,496/80,901
  6. Step 6: Final answer
    x = 198,225.94

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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.