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Finding the Third Proportional to 89,652 and 135,204

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Solution

The third proportional to 89,652 and 135,204 is: 203,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,652 : 135,204 = 135,204 : x
  2. Step 2: Convert to fraction form
    89,652/135,204 = 135,204/x
  3. Step 3: Cross multiply
    89,652x = 135,204 × 135,204
  4. Step 4: Simplify right side
    89,652x = 18,280,121,616
  5. Step 5: Solve for x
    x = 18,280,121,616/89,652
  6. Step 6: Final answer
    x = 203,900.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.