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Finding the Third Proportional to 43,614 and 67,512

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Solution

The third proportional to 43,614 and 67,512 is: 104,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,614 : 67,512 = 67,512 : x
  2. Step 2: Convert to fraction form
    43,614/67,512 = 67,512/x
  3. Step 3: Cross multiply
    43,614x = 67,512 × 67,512
  4. Step 4: Simplify right side
    43,614x = 4,557,870,144
  5. Step 5: Solve for x
    x = 4,557,870,144/43,614
  6. Step 6: Final answer
    x = 104,504.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.