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Finding the Third Proportional to 45,619 and 68,245

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Solution

The third proportional to 45,619 and 68,245 is: 102,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,619 : 68,245 = 68,245 : x
  2. Step 2: Convert to fraction form
    45,619/68,245 = 68,245/x
  3. Step 3: Cross multiply
    45,619x = 68,245 × 68,245
  4. Step 4: Simplify right side
    45,619x = 4,657,380,025
  5. Step 5: Solve for x
    x = 4,657,380,025/45,619
  6. Step 6: Final answer
    x = 102,092.99

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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.