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Finding the Third Proportional to 67,704 and 102,996

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Solution

The third proportional to 67,704 and 102,996 is: 156,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,704 : 102,996 = 102,996 : x
  2. Step 2: Convert to fraction form
    67,704/102,996 = 102,996/x
  3. Step 3: Cross multiply
    67,704x = 102,996 × 102,996
  4. Step 4: Simplify right side
    67,704x = 10,608,176,016
  5. Step 5: Solve for x
    x = 10,608,176,016/67,704
  6. Step 6: Final answer
    x = 156,684.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.