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Finding the Third Proportional to 96,289 and 140,867

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Solution

The third proportional to 96,289 and 140,867 is: 206,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,289 : 140,867 = 140,867 : x
  2. Step 2: Convert to fraction form
    96,289/140,867 = 140,867/x
  3. Step 3: Cross multiply
    96,289x = 140,867 × 140,867
  4. Step 4: Simplify right side
    96,289x = 19,843,511,689
  5. Step 5: Solve for x
    x = 19,843,511,689/96,289
  6. Step 6: Final answer
    x = 206,082.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.