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Finding the Third Proportional to 95,267.25 and 140,267.25

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Solution

The third proportional to 95,267.25 and 140,267.25 is: 206,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,267.25 : 140,267.25 = 140,267.25 : x
  2. Step 2: Convert to fraction form
    95,267.25/140,267.25 = 140,267.25/x
  3. Step 3: Cross multiply
    95,267.25x = 140,267.25 × 140,267.25
  4. Step 4: Simplify right side
    95,267.25x = 19,674,901,422.56
  5. Step 5: Solve for x
    x = 19,674,901,422.56/95,267.25
  6. Step 6: Final answer
    x = 206,523.24

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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.