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Finding the Third Proportional to 69,642 and 150,366

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Solution

The third proportional to 69,642 and 150,366 is: 324,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,642 : 150,366 = 150,366 : x
  2. Step 2: Convert to fraction form
    69,642/150,366 = 150,366/x
  3. Step 3: Cross multiply
    69,642x = 150,366 × 150,366
  4. Step 4: Simplify right side
    69,642x = 22,609,933,956
  5. Step 5: Solve for x
    x = 22,609,933,956/69,642
  6. Step 6: Final answer
    x = 324,659.46

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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.