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Finding the Third Proportional to 31,329 and 68,589

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Solution

The third proportional to 31,329 and 68,589 is: 150,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329 : 68,589 = 68,589 : x
  2. Step 2: Convert to fraction form
    31,329/68,589 = 68,589/x
  3. Step 3: Cross multiply
    31,329x = 68,589 × 68,589
  4. Step 4: Simplify right side
    31,329x = 4,704,450,921
  5. Step 5: Solve for x
    x = 4,704,450,921/31,329
  6. Step 6: Final answer
    x = 150,162.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.