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Finding the Third Proportional to 87,836 and 135,876

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Solution

The third proportional to 87,836 and 135,876 is: 210,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,836 : 135,876 = 135,876 : x
  2. Step 2: Convert to fraction form
    87,836/135,876 = 135,876/x
  3. Step 3: Cross multiply
    87,836x = 135,876 × 135,876
  4. Step 4: Simplify right side
    87,836x = 18,462,287,376
  5. Step 5: Solve for x
    x = 18,462,287,376/87,836
  6. Step 6: Final answer
    x = 210,190.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.