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Finding the Third Proportional to 80,448.75 and 120,517.50

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Solution

The third proportional to 80,448.75 and 120,517.50 is: 180,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,448.75 : 120,517.50 = 120,517.50 : x
  2. Step 2: Convert to fraction form
    80,448.75/120,517.50 = 120,517.50/x
  3. Step 3: Cross multiply
    80,448.75x = 120,517.50 × 120,517.50
  4. Step 4: Simplify right side
    80,448.75x = 14,524,467,806.25
  5. Step 5: Solve for x
    x = 14,524,467,806.25/80,448.75
  6. Step 6: Final answer
    x = 180,543.11

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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.