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Finding the Third Proportional to 95,412 and 140,200

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Solution

The third proportional to 95,412 and 140,200 is: 206,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,412 : 140,200 = 140,200 : x
  2. Step 2: Convert to fraction form
    95,412/140,200 = 140,200/x
  3. Step 3: Cross multiply
    95,412x = 140,200 × 140,200
  4. Step 4: Simplify right side
    95,412x = 19,656,040,000
  5. Step 5: Solve for x
    x = 19,656,040,000/95,412
  6. Step 6: Final answer
    x = 206,012.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.