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Finding the Third Proportional to 80,904 and 126,636

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Solution

The third proportional to 80,904 and 126,636 is: 198,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,904 : 126,636 = 126,636 : x
  2. Step 2: Convert to fraction form
    80,904/126,636 = 126,636/x
  3. Step 3: Cross multiply
    80,904x = 126,636 × 126,636
  4. Step 4: Simplify right side
    80,904x = 16,036,676,496
  5. Step 5: Solve for x
    x = 16,036,676,496/80,904
  6. Step 6: Final answer
    x = 198,218.59

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