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Finding the Third Proportional to 43,750 and 67,874

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Solution

The third proportional to 43,750 and 67,874 is: 105,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,750 : 67,874 = 67,874 : x
  2. Step 2: Convert to fraction form
    43,750/67,874 = 67,874/x
  3. Step 3: Cross multiply
    43,750x = 67,874 × 67,874
  4. Step 4: Simplify right side
    43,750x = 4,606,879,876
  5. Step 5: Solve for x
    x = 4,606,879,876/43,750
  6. Step 6: Final answer
    x = 105,300.11

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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.