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Finding the Third Proportional to 95,340 and 140,142

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Solution

The third proportional to 95,340 and 140,142 is: 205,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,340 : 140,142 = 140,142 : x
  2. Step 2: Convert to fraction form
    95,340/140,142 = 140,142/x
  3. Step 3: Cross multiply
    95,340x = 140,142 × 140,142
  4. Step 4: Simplify right side
    95,340x = 19,639,780,164
  5. Step 5: Solve for x
    x = 19,639,780,164/95,340
  6. Step 6: Final answer
    x = 205,997.27

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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.