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Finding the Third Proportional to 80,068 and 119,814

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Solution

The third proportional to 80,068 and 119,814 is: 179,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,068 : 119,814 = 119,814 : x
  2. Step 2: Convert to fraction form
    80,068/119,814 = 119,814/x
  3. Step 3: Cross multiply
    80,068x = 119,814 × 119,814
  4. Step 4: Simplify right side
    80,068x = 14,355,394,596
  5. Step 5: Solve for x
    x = 14,355,394,596/80,068
  6. Step 6: Final answer
    x = 179,290.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.