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Finding the Third Proportional to 69,676 and 150,432

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Solution

The third proportional to 69,676 and 150,432 is: 324,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,676 : 150,432 = 150,432 : x
  2. Step 2: Convert to fraction form
    69,676/150,432 = 150,432/x
  3. Step 3: Cross multiply
    69,676x = 150,432 × 150,432
  4. Step 4: Simplify right side
    69,676x = 22,629,786,624
  5. Step 5: Solve for x
    x = 22,629,786,624/69,676
  6. Step 6: Final answer
    x = 324,785.96

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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.