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Finding the Third Proportional to 95,288 and 140,016

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Solution

The third proportional to 95,288 and 140,016 is: 205,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,288 : 140,016 = 140,016 : x
  2. Step 2: Convert to fraction form
    95,288/140,016 = 140,016/x
  3. Step 3: Cross multiply
    95,288x = 140,016 × 140,016
  4. Step 4: Simplify right side
    95,288x = 19,604,480,256
  5. Step 5: Solve for x
    x = 19,604,480,256/95,288
  6. Step 6: Final answer
    x = 205,739.24

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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.