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Finding the Third Proportional to 67,704 and 94,651.50

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Solution

The third proportional to 67,704 and 94,651.50 is: 132,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,704 : 94,651.50 = 94,651.50 : x
  2. Step 2: Convert to fraction form
    67,704/94,651.50 = 94,651.50/x
  3. Step 3: Cross multiply
    67,704x = 94,651.50 × 94,651.50
  4. Step 4: Simplify right side
    67,704x = 8,958,906,452.25
  5. Step 5: Solve for x
    x = 8,958,906,452.25/67,704
  6. Step 6: Final answer
    x = 132,324.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.