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Finding the Third Proportional to 80,096 and 124,544

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Solution

The third proportional to 80,096 and 124,544 is: 193,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,096 : 124,544 = 124,544 : x
  2. Step 2: Convert to fraction form
    80,096/124,544 = 124,544/x
  3. Step 3: Cross multiply
    80,096x = 124,544 × 124,544
  4. Step 4: Simplify right side
    80,096x = 15,511,207,936
  5. Step 5: Solve for x
    x = 15,511,207,936/80,096
  6. Step 6: Final answer
    x = 193,657.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.