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Finding the Third Proportional to 95,296 and 140,091

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Solution

The third proportional to 95,296 and 140,091 is: 205,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,296 : 140,091 = 140,091 : x
  2. Step 2: Convert to fraction form
    95,296/140,091 = 140,091/x
  3. Step 3: Cross multiply
    95,296x = 140,091 × 140,091
  4. Step 4: Simplify right side
    95,296x = 19,625,488,281
  5. Step 5: Solve for x
    x = 19,625,488,281/95,296
  6. Step 6: Final answer
    x = 205,942.41

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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.