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Finding the Third Proportional to 32,331 and 69,759

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Solution

The third proportional to 32,331 and 69,759 is: 150,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,331 : 69,759 = 69,759 : x
  2. Step 2: Convert to fraction form
    32,331/69,759 = 69,759/x
  3. Step 3: Cross multiply
    32,331x = 69,759 × 69,759
  4. Step 4: Simplify right side
    32,331x = 4,866,318,081
  5. Step 5: Solve for x
    x = 4,866,318,081/32,331
  6. Step 6: Final answer
    x = 150,515.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.