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Finding the Third Proportional to 95,989 and 142,983

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Solution

The third proportional to 95,989 and 142,983 is: 212,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,989 : 142,983 = 142,983 : x
  2. Step 2: Convert to fraction form
    95,989/142,983 = 142,983/x
  3. Step 3: Cross multiply
    95,989x = 142,983 × 142,983
  4. Step 4: Simplify right side
    95,989x = 20,444,138,289
  5. Step 5: Solve for x
    x = 20,444,138,289/95,989
  6. Step 6: Final answer
    x = 212,984.18

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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.