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Finding the Third Proportional to 43,774 and 67,912

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Solution

The third proportional to 43,774 and 67,912 is: 105,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,774 : 67,912 = 67,912 : x
  2. Step 2: Convert to fraction form
    43,774/67,912 = 67,912/x
  3. Step 3: Cross multiply
    43,774x = 67,912 × 67,912
  4. Step 4: Simplify right side
    43,774x = 4,612,039,744
  5. Step 5: Solve for x
    x = 4,612,039,744/43,774
  6. Step 6: Final answer
    x = 105,360.25

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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.