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Finding the Third Proportional to 80,228 and 120,054

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Solution

The third proportional to 80,228 and 120,054 is: 179,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,228 : 120,054 = 120,054 : x
  2. Step 2: Convert to fraction form
    80,228/120,054 = 120,054/x
  3. Step 3: Cross multiply
    80,228x = 120,054 × 120,054
  4. Step 4: Simplify right side
    80,228x = 14,412,962,916
  5. Step 5: Solve for x
    x = 14,412,962,916/80,228
  6. Step 6: Final answer
    x = 179,650.03

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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.