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Finding the Third Proportional to 68,940.75 and 105,414.75

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Solution

The third proportional to 68,940.75 and 105,414.75 is: 161,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,940.75 : 105,414.75 = 105,414.75 : x
  2. Step 2: Convert to fraction form
    68,940.75/105,414.75 = 105,414.75/x
  3. Step 3: Cross multiply
    68,940.75x = 105,414.75 × 105,414.75
  4. Step 4: Simplify right side
    68,940.75x = 11,112,269,517.56
  5. Step 5: Solve for x
    x = 11,112,269,517.56/68,940.75
  6. Step 6: Final answer
    x = 161,185.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.