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Finding the Third Proportional to 89,847 and 135,945

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Solution

The third proportional to 89,847 and 135,945 is: 205,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,847 : 135,945 = 135,945 : x
  2. Step 2: Convert to fraction form
    89,847/135,945 = 135,945/x
  3. Step 3: Cross multiply
    89,847x = 135,945 × 135,945
  4. Step 4: Simplify right side
    89,847x = 18,481,043,025
  5. Step 5: Solve for x
    x = 18,481,043,025/89,847
  6. Step 6: Final answer
    x = 205,694.60

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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.