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Finding the Third Proportional to 135,976 and 195,846

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Solution

The third proportional to 135,976 and 195,846 is: 282,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,976 : 195,846 = 195,846 : x
  2. Step 2: Convert to fraction form
    135,976/195,846 = 195,846/x
  3. Step 3: Cross multiply
    135,976x = 195,846 × 195,846
  4. Step 4: Simplify right side
    135,976x = 38,355,655,716
  5. Step 5: Solve for x
    x = 38,355,655,716/135,976
  6. Step 6: Final answer
    x = 282,076.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.