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Finding the Third Proportional to 80,879 and 122,450

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Solution

The third proportional to 80,879 and 122,450 is: 185,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,879 : 122,450 = 122,450 : x
  2. Step 2: Convert to fraction form
    80,879/122,450 = 122,450/x
  3. Step 3: Cross multiply
    80,879x = 122,450 × 122,450
  4. Step 4: Simplify right side
    80,879x = 14,994,002,500
  5. Step 5: Solve for x
    x = 14,994,002,500/80,879
  6. Step 6: Final answer
    x = 185,388.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.