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Finding the Third Proportional to 67,408 and 101,948

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Solution

The third proportional to 67,408 and 101,948 is: 154,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,408 : 101,948 = 101,948 : x
  2. Step 2: Convert to fraction form
    67,408/101,948 = 101,948/x
  3. Step 3: Cross multiply
    67,408x = 101,948 × 101,948
  4. Step 4: Simplify right side
    67,408x = 10,393,394,704
  5. Step 5: Solve for x
    x = 10,393,394,704/67,408
  6. Step 6: Final answer
    x = 154,186.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.