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Finding the Third Proportional to 80,096 and 119,856

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Solution

The third proportional to 80,096 and 119,856 is: 179,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,096 : 119,856 = 119,856 : x
  2. Step 2: Convert to fraction form
    80,096/119,856 = 119,856/x
  3. Step 3: Cross multiply
    80,096x = 119,856 × 119,856
  4. Step 4: Simplify right side
    80,096x = 14,365,460,736
  5. Step 5: Solve for x
    x = 14,365,460,736/80,096
  6. Step 6: Final answer
    x = 179,353.04

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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.