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Finding the Third Proportional to 96,474 and 140,934

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Solution

The third proportional to 96,474 and 140,934 is: 205,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,474 : 140,934 = 140,934 : x
  2. Step 2: Convert to fraction form
    96,474/140,934 = 140,934/x
  3. Step 3: Cross multiply
    96,474x = 140,934 × 140,934
  4. Step 4: Simplify right side
    96,474x = 19,862,392,356
  5. Step 5: Solve for x
    x = 19,862,392,356/96,474
  6. Step 6: Final answer
    x = 205,883.37

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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.