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Finding the Third Proportional to 126,082 and 195,218

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Solution

The third proportional to 126,082 and 195,218 is: 302,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,082 : 195,218 = 195,218 : x
  2. Step 2: Convert to fraction form
    126,082/195,218 = 195,218/x
  3. Step 3: Cross multiply
    126,082x = 195,218 × 195,218
  4. Step 4: Simplify right side
    126,082x = 38,110,067,524
  5. Step 5: Solve for x
    x = 38,110,067,524/126,082
  6. Step 6: Final answer
    x = 302,264.14

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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.