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Finding the Third Proportional to 103,949 and 167,408

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Solution

The third proportional to 103,949 and 167,408 is: 269,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,949 : 167,408 = 167,408 : x
  2. Step 2: Convert to fraction form
    103,949/167,408 = 167,408/x
  3. Step 3: Cross multiply
    103,949x = 167,408 × 167,408
  4. Step 4: Simplify right side
    103,949x = 28,025,438,464
  5. Step 5: Solve for x
    x = 28,025,438,464/103,949
  6. Step 6: Final answer
    x = 269,607.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.