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Finding the Third Proportional to 68,040.75 and 105,787.25

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Solution

The third proportional to 68,040.75 and 105,787.25 is: 164,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,040.75 : 105,787.25 = 105,787.25 : x
  2. Step 2: Convert to fraction form
    68,040.75/105,787.25 = 105,787.25/x
  3. Step 3: Cross multiply
    68,040.75x = 105,787.25 × 105,787.25
  4. Step 4: Simplify right side
    68,040.75x = 11,190,942,262.56
  5. Step 5: Solve for x
    x = 11,190,942,262.56/68,040.75
  6. Step 6: Final answer
    x = 164,474.12

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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.