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Finding the Third Proportional to 95,412 and 140,333

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Solution

The third proportional to 95,412 and 140,333 is: 206,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,412 : 140,333 = 140,333 : x
  2. Step 2: Convert to fraction form
    95,412/140,333 = 140,333/x
  3. Step 3: Cross multiply
    95,412x = 140,333 × 140,333
  4. Step 4: Simplify right side
    95,412x = 19,693,350,889
  5. Step 5: Solve for x
    x = 19,693,350,889/95,412
  6. Step 6: Final answer
    x = 206,403.29

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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.