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Finding the Third Proportional to 67,554 and 150,642

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Solution

The third proportional to 67,554 and 150,642 is: 335,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,554 : 150,642 = 150,642 : x
  2. Step 2: Convert to fraction form
    67,554/150,642 = 150,642/x
  3. Step 3: Cross multiply
    67,554x = 150,642 × 150,642
  4. Step 4: Simplify right side
    67,554x = 22,693,012,164
  5. Step 5: Solve for x
    x = 22,693,012,164/67,554
  6. Step 6: Final answer
    x = 335,924.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.