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Finding the Third Proportional to 54,611 and 82,096

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Solution

The third proportional to 54,611 and 82,096 is: 123,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,611 : 82,096 = 82,096 : x
  2. Step 2: Convert to fraction form
    54,611/82,096 = 82,096/x
  3. Step 3: Cross multiply
    54,611x = 82,096 × 82,096
  4. Step 4: Simplify right side
    54,611x = 6,739,753,216
  5. Step 5: Solve for x
    x = 6,739,753,216/54,611
  6. Step 6: Final answer
    x = 123,413.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.