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Finding the Third Proportional to 67,408 and 105,733

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Solution

The third proportional to 67,408 and 105,733 is: 165,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,408 : 105,733 = 105,733 : x
  2. Step 2: Convert to fraction form
    67,408/105,733 = 105,733/x
  3. Step 3: Cross multiply
    67,408x = 105,733 × 105,733
  4. Step 4: Simplify right side
    67,408x = 11,179,467,289
  5. Step 5: Solve for x
    x = 11,179,467,289/67,408
  6. Step 6: Final answer
    x = 165,847.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.