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Finding the Third Proportional to 80,496 and 122,112

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Solution

The third proportional to 80,496 and 122,112 is: 185,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,496 : 122,112 = 122,112 : x
  2. Step 2: Convert to fraction form
    80,496/122,112 = 122,112/x
  3. Step 3: Cross multiply
    80,496x = 122,112 × 122,112
  4. Step 4: Simplify right side
    80,496x = 14,911,340,544
  5. Step 5: Solve for x
    x = 14,911,340,544/80,496
  6. Step 6: Final answer
    x = 185,243.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.