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Finding the Third Proportional to 106,122 and 231,930

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Solution

The third proportional to 106,122 and 231,930 is: 506,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,122 : 231,930 = 231,930 : x
  2. Step 2: Convert to fraction form
    106,122/231,930 = 231,930/x
  3. Step 3: Cross multiply
    106,122x = 231,930 × 231,930
  4. Step 4: Simplify right side
    106,122x = 53,791,524,900
  5. Step 5: Solve for x
    x = 53,791,524,900/106,122
  6. Step 6: Final answer
    x = 506,883.82

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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.