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Finding the Third Proportional to 80,180 and 122,160

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Solution

The third proportional to 80,180 and 122,160 is: 186,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,180 : 122,160 = 122,160 : x
  2. Step 2: Convert to fraction form
    80,180/122,160 = 122,160/x
  3. Step 3: Cross multiply
    80,180x = 122,160 × 122,160
  4. Step 4: Simplify right side
    80,180x = 14,923,065,600
  5. Step 5: Solve for x
    x = 14,923,065,600/80,180
  6. Step 6: Final answer
    x = 186,119.55

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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.