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Finding the Third Proportional to 95,987 and 142,980

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Solution

The third proportional to 95,987 and 142,980 is: 212,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,987 : 142,980 = 142,980 : x
  2. Step 2: Convert to fraction form
    95,987/142,980 = 142,980/x
  3. Step 3: Cross multiply
    95,987x = 142,980 × 142,980
  4. Step 4: Simplify right side
    95,987x = 20,443,280,400
  5. Step 5: Solve for x
    x = 20,443,280,400/95,987
  6. Step 6: Final answer
    x = 212,979.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.