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Finding the Third Proportional to 126,082 and 273,177

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Solution

The third proportional to 126,082 and 273,177 is: 591,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,082 : 273,177 = 273,177 : x
  2. Step 2: Convert to fraction form
    126,082/273,177 = 273,177/x
  3. Step 3: Cross multiply
    126,082x = 273,177 × 273,177
  4. Step 4: Simplify right side
    126,082x = 74,625,673,329
  5. Step 5: Solve for x
    x = 74,625,673,329/126,082
  6. Step 6: Final answer
    x = 591,882.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.