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Finding the Third Proportional to 135,231 and 195,867

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Solution

The third proportional to 135,231 and 195,867 is: 283,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,231 : 195,867 = 195,867 : x
  2. Step 2: Convert to fraction form
    135,231/195,867 = 195,867/x
  3. Step 3: Cross multiply
    135,231x = 195,867 × 195,867
  4. Step 4: Simplify right side
    135,231x = 38,363,881,689
  5. Step 5: Solve for x
    x = 38,363,881,689/135,231
  6. Step 6: Final answer
    x = 283,691.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.