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Finding the Third Proportional to 31,558 and 68,944

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Solution

The third proportional to 31,558 and 68,944 is: 150,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,558 : 68,944 = 68,944 : x
  2. Step 2: Convert to fraction form
    31,558/68,944 = 68,944/x
  3. Step 3: Cross multiply
    31,558x = 68,944 × 68,944
  4. Step 4: Simplify right side
    31,558x = 4,753,275,136
  5. Step 5: Solve for x
    x = 4,753,275,136/31,558
  6. Step 6: Final answer
    x = 150,620.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.