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Finding the Third Proportional to 95,421 and 140,214

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Solution

The third proportional to 95,421 and 140,214 is: 206,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,421 : 140,214 = 140,214 : x
  2. Step 2: Convert to fraction form
    95,421/140,214 = 140,214/x
  3. Step 3: Cross multiply
    95,421x = 140,214 × 140,214
  4. Step 4: Simplify right side
    95,421x = 19,659,965,796
  5. Step 5: Solve for x
    x = 19,659,965,796/95,421
  6. Step 6: Final answer
    x = 206,033.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.