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Finding the Third Proportional to 80,219 and 120,329

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Solution

The third proportional to 80,219 and 120,329 is: 180,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,219 : 120,329 = 120,329 : x
  2. Step 2: Convert to fraction form
    80,219/120,329 = 120,329/x
  3. Step 3: Cross multiply
    80,219x = 120,329 × 120,329
  4. Step 4: Simplify right side
    80,219x = 14,479,068,241
  5. Step 5: Solve for x
    x = 14,479,068,241/80,219
  6. Step 6: Final answer
    x = 180,494.25

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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.