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Finding the Third Proportional to 80,100 and 112,674

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Solution

The third proportional to 80,100 and 112,674 is: 158,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,100 : 112,674 = 112,674 : x
  2. Step 2: Convert to fraction form
    80,100/112,674 = 112,674/x
  3. Step 3: Cross multiply
    80,100x = 112,674 × 112,674
  4. Step 4: Simplify right side
    80,100x = 12,695,430,276
  5. Step 5: Solve for x
    x = 12,695,430,276/80,100
  6. Step 6: Final answer
    x = 158,494.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.