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Finding the Third Proportional to 106,082 and 231,847

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Solution

The third proportional to 106,082 and 231,847 is: 506,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,082 : 231,847 = 231,847 : x
  2. Step 2: Convert to fraction form
    106,082/231,847 = 231,847/x
  3. Step 3: Cross multiply
    106,082x = 231,847 × 231,847
  4. Step 4: Simplify right side
    106,082x = 53,753,031,409
  5. Step 5: Solve for x
    x = 53,753,031,409/106,082
  6. Step 6: Final answer
    x = 506,712.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.