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Finding the Third Proportional to 106,034 and 231,122

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Solution

The third proportional to 106,034 and 231,122 is: 503,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,034 : 231,122 = 231,122 : x
  2. Step 2: Convert to fraction form
    106,034/231,122 = 231,122/x
  3. Step 3: Cross multiply
    106,034x = 231,122 × 231,122
  4. Step 4: Simplify right side
    106,034x = 53,417,378,884
  5. Step 5: Solve for x
    x = 53,417,378,884/106,034
  6. Step 6: Final answer
    x = 503,775.95

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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.