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Finding the Third Proportional to 96,289 and 140,868

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Solution

The third proportional to 96,289 and 140,868 is: 206,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,289 : 140,868 = 140,868 : x
  2. Step 2: Convert to fraction form
    96,289/140,868 = 140,868/x
  3. Step 3: Cross multiply
    96,289x = 140,868 × 140,868
  4. Step 4: Simplify right side
    96,289x = 19,843,793,424
  5. Step 5: Solve for x
    x = 19,843,793,424/96,289
  6. Step 6: Final answer
    x = 206,085.78

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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.