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Finding the Third Proportional to 69,902 and 150,932

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Solution

The third proportional to 69,902 and 150,932 is: 325,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902 : 150,932 = 150,932 : x
  2. Step 2: Convert to fraction form
    69,902/150,932 = 150,932/x
  3. Step 3: Cross multiply
    69,902x = 150,932 × 150,932
  4. Step 4: Simplify right side
    69,902x = 22,780,468,624
  5. Step 5: Solve for x
    x = 22,780,468,624/69,902
  6. Step 6: Final answer
    x = 325,891.51

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