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Finding the Third Proportional to 95,410.25 and 140,329.75

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Solution

The third proportional to 95,410.25 and 140,329.75 is: 206,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,410.25 : 140,329.75 = 140,329.75 : x
  2. Step 2: Convert to fraction form
    95,410.25/140,329.75 = 140,329.75/x
  3. Step 3: Cross multiply
    95,410.25x = 140,329.75 × 140,329.75
  4. Step 4: Simplify right side
    95,410.25x = 19,692,438,735.06
  5. Step 5: Solve for x
    x = 19,692,438,735.06/95,410.25
  6. Step 6: Final answer
    x = 206,397.52

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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.