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Finding the Third Proportional to 31,110 and 67,404

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Solution

The third proportional to 31,110 and 67,404 is: 146,039.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,110 : 67,404 = 67,404 : x
  2. Step 2: Convert to fraction form
    31,110/67,404 = 67,404/x
  3. Step 3: Cross multiply
    31,110x = 67,404 × 67,404
  4. Step 4: Simplify right side
    31,110x = 4,543,299,216
  5. Step 5: Solve for x
    x = 4,543,299,216/31,110
  6. Step 6: Final answer
    x = 146,039.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.