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Finding the Third Proportional to 100,168 and 150,636

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Solution

The third proportional to 100,168 and 150,636 is: 226,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,168 : 150,636 = 150,636 : x
  2. Step 2: Convert to fraction form
    100,168/150,636 = 150,636/x
  3. Step 3: Cross multiply
    100,168x = 150,636 × 150,636
  4. Step 4: Simplify right side
    100,168x = 22,691,204,496
  5. Step 5: Solve for x
    x = 22,691,204,496/100,168
  6. Step 6: Final answer
    x = 226,531.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.