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Finding the Third Proportional to 106,122 and 231,198

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Solution

The third proportional to 106,122 and 231,198 is: 503,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,122 : 231,198 = 231,198 : x
  2. Step 2: Convert to fraction form
    106,122/231,198 = 231,198/x
  3. Step 3: Cross multiply
    106,122x = 231,198 × 231,198
  4. Step 4: Simplify right side
    106,122x = 53,452,515,204
  5. Step 5: Solve for x
    x = 53,452,515,204/106,122
  6. Step 6: Final answer
    x = 503,689.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.