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Finding the Third Proportional to 80,460 and 120,150

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Solution

The third proportional to 80,460 and 120,150 is: 179,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,460 : 120,150 = 120,150 : x
  2. Step 2: Convert to fraction form
    80,460/120,150 = 120,150/x
  3. Step 3: Cross multiply
    80,460x = 120,150 × 120,150
  4. Step 4: Simplify right side
    80,460x = 14,436,022,500
  5. Step 5: Solve for x
    x = 14,436,022,500/80,460
  6. Step 6: Final answer
    x = 179,418.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.