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Finding the Third Proportional to 96,446 and 140,901

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Solution

The third proportional to 96,446 and 140,901 is: 205,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,446 : 140,901 = 140,901 : x
  2. Step 2: Convert to fraction form
    96,446/140,901 = 140,901/x
  3. Step 3: Cross multiply
    96,446x = 140,901 × 140,901
  4. Step 4: Simplify right side
    96,446x = 19,853,091,801
  5. Step 5: Solve for x
    x = 19,853,091,801/96,446
  6. Step 6: Final answer
    x = 205,846.71

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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.