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Finding the Third Proportional to 80,166 and 126,934

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Solution

The third proportional to 80,166 and 126,934 is: 200,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,166 : 126,934 = 126,934 : x
  2. Step 2: Convert to fraction form
    80,166/126,934 = 126,934/x
  3. Step 3: Cross multiply
    80,166x = 126,934 × 126,934
  4. Step 4: Simplify right side
    80,166x = 16,112,240,356
  5. Step 5: Solve for x
    x = 16,112,240,356/80,166
  6. Step 6: Final answer
    x = 200,985.96

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.