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Finding the Third Proportional to 43,938 and 68,091.75

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Solution

The third proportional to 43,938 and 68,091.75 is: 105,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,938 : 68,091.75 = 68,091.75 : x
  2. Step 2: Convert to fraction form
    43,938/68,091.75 = 68,091.75/x
  3. Step 3: Cross multiply
    43,938x = 68,091.75 × 68,091.75
  4. Step 4: Simplify right side
    43,938x = 4,636,486,418.06
  5. Step 5: Solve for x
    x = 4,636,486,418.06/43,938
  6. Step 6: Final answer
    x = 105,523.38

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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.