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Finding the Third Proportional to 135,236 and 195,872

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Solution

The third proportional to 135,236 and 195,872 is: 283,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,236 : 195,872 = 195,872 : x
  2. Step 2: Convert to fraction form
    135,236/195,872 = 195,872/x
  3. Step 3: Cross multiply
    135,236x = 195,872 × 195,872
  4. Step 4: Simplify right side
    135,236x = 38,365,840,384
  5. Step 5: Solve for x
    x = 38,365,840,384/135,236
  6. Step 6: Final answer
    x = 283,695.47

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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.