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Finding the Third Proportional to 100,062 and 150,822

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Solution

The third proportional to 100,062 and 150,822 is: 227,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,062 : 150,822 = 150,822 : x
  2. Step 2: Convert to fraction form
    100,062/150,822 = 150,822/x
  3. Step 3: Cross multiply
    100,062x = 150,822 × 150,822
  4. Step 4: Simplify right side
    100,062x = 22,747,275,684
  5. Step 5: Solve for x
    x = 22,747,275,684/100,062
  6. Step 6: Final answer
    x = 227,331.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.