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Finding the Third Proportional to 80,250 and 120,379

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Solution

The third proportional to 80,250 and 120,379 is: 180,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,250 : 120,379 = 120,379 : x
  2. Step 2: Convert to fraction form
    80,250/120,379 = 120,379/x
  3. Step 3: Cross multiply
    80,250x = 120,379 × 120,379
  4. Step 4: Simplify right side
    80,250x = 14,491,103,641
  5. Step 5: Solve for x
    x = 14,491,103,641/80,250
  6. Step 6: Final answer
    x = 180,574.50

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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.