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Finding the Third Proportional to 95,260.94 and 140,259.56

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Solution

The third proportional to 95,260.94 and 140,259.56 is: 206,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,260.94 : 140,259.56 = 140,259.56 : x
  2. Step 2: Convert to fraction form
    95,260.94/140,259.56 = 140,259.56/x
  3. Step 3: Cross multiply
    95,260.94x = 140,259.56 × 140,259.56
  4. Step 4: Simplify right side
    95,260.94x = 19,672,744,872.69
  5. Step 5: Solve for x
    x = 19,672,744,872.69/95,260.94
  6. Step 6: Final answer
    x = 206,514.29

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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.