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Finding the Third Proportional to 67,832 and 103,764

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Solution

The third proportional to 67,832 and 103,764 is: 158,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,832 : 103,764 = 103,764 : x
  2. Step 2: Convert to fraction form
    67,832/103,764 = 103,764/x
  3. Step 3: Cross multiply
    67,832x = 103,764 × 103,764
  4. Step 4: Simplify right side
    67,832x = 10,766,967,696
  5. Step 5: Solve for x
    x = 10,766,967,696/67,832
  6. Step 6: Final answer
    x = 158,729.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.