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Finding the Third Proportional to 95,407 and 140,193.25

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Solution

The third proportional to 95,407 and 140,193.25 is: 206,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,407 : 140,193.25 = 140,193.25 : x
  2. Step 2: Convert to fraction form
    95,407/140,193.25 = 140,193.25/x
  3. Step 3: Cross multiply
    95,407x = 140,193.25 × 140,193.25
  4. Step 4: Simplify right side
    95,407x = 19,654,147,345.56
  5. Step 5: Solve for x
    x = 19,654,147,345.56/95,407
  6. Step 6: Final answer
    x = 206,003.20

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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.