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Finding the Third Proportional to 95,420 and 140,212

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Solution

The third proportional to 95,420 and 140,212 is: 206,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,420 : 140,212 = 140,212 : x
  2. Step 2: Convert to fraction form
    95,420/140,212 = 140,212/x
  3. Step 3: Cross multiply
    95,420x = 140,212 × 140,212
  4. Step 4: Simplify right side
    95,420x = 19,659,404,944
  5. Step 5: Solve for x
    x = 19,659,404,944/95,420
  6. Step 6: Final answer
    x = 206,030.23

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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.