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Finding the Third Proportional to 89,874 and 135,927

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Solution

The third proportional to 89,874 and 135,927 is: 205,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,874 : 135,927 = 135,927 : x
  2. Step 2: Convert to fraction form
    89,874/135,927 = 135,927/x
  3. Step 3: Cross multiply
    89,874x = 135,927 × 135,927
  4. Step 4: Simplify right side
    89,874x = 18,476,149,329
  5. Step 5: Solve for x
    x = 18,476,149,329/89,874
  6. Step 6: Final answer
    x = 205,578.36

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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.