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Finding the Third Proportional to 80,241 and 124,179

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Solution

The third proportional to 80,241 and 124,179 is: 192,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,241 : 124,179 = 124,179 : x
  2. Step 2: Convert to fraction form
    80,241/124,179 = 124,179/x
  3. Step 3: Cross multiply
    80,241x = 124,179 × 124,179
  4. Step 4: Simplify right side
    80,241x = 15,420,424,041
  5. Step 5: Solve for x
    x = 15,420,424,041/80,241
  6. Step 6: Final answer
    x = 192,176.37

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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.