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Finding the Third Proportional to 123,408 and 167,229

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Solution

The third proportional to 123,408 and 167,229 is: 226,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,408 : 167,229 = 167,229 : x
  2. Step 2: Convert to fraction form
    123,408/167,229 = 167,229/x
  3. Step 3: Cross multiply
    123,408x = 167,229 × 167,229
  4. Step 4: Simplify right side
    123,408x = 27,965,538,441
  5. Step 5: Solve for x
    x = 27,965,538,441/123,408
  6. Step 6: Final answer
    x = 226,610.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.