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Finding the Third Proportional to 95,987 and 142,092

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Solution

The third proportional to 95,987 and 142,092 is: 210,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,987 : 142,092 = 142,092 : x
  2. Step 2: Convert to fraction form
    95,987/142,092 = 142,092/x
  3. Step 3: Cross multiply
    95,987x = 142,092 × 142,092
  4. Step 4: Simplify right side
    95,987x = 20,190,136,464
  5. Step 5: Solve for x
    x = 20,190,136,464/95,987
  6. Step 6: Final answer
    x = 210,342.41

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.