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Finding the Third Proportional to 31,329 and 67,212

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Solution

The third proportional to 31,329 and 67,212 is: 144,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329 : 67,212 = 67,212 : x
  2. Step 2: Convert to fraction form
    31,329/67,212 = 67,212/x
  3. Step 3: Cross multiply
    31,329x = 67,212 × 67,212
  4. Step 4: Simplify right side
    31,329x = 4,517,452,944
  5. Step 5: Solve for x
    x = 4,517,452,944/31,329
  6. Step 6: Final answer
    x = 144,193.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.