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Finding the Third Proportional to 80,363.81 and 120,150.84

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Solution

The third proportional to 80,363.81 and 120,150.84 is: 179,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,363.81 : 120,150.84 = 120,150.84 : x
  2. Step 2: Convert to fraction form
    80,363.81/120,150.84 = 120,150.84/x
  3. Step 3: Cross multiply
    80,363.81x = 120,150.84 × 120,150.84
  4. Step 4: Simplify right side
    80,363.81x = 14,436,225,253.84
  5. Step 5: Solve for x
    x = 14,436,225,253.84/80,363.81
  6. Step 6: Final answer
    x = 179,635.89

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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.