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Finding the Third Proportional to 86,967 and 131,949

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Solution

The third proportional to 86,967 and 131,949 is: 200,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,967 : 131,949 = 131,949 : x
  2. Step 2: Convert to fraction form
    86,967/131,949 = 131,949/x
  3. Step 3: Cross multiply
    86,967x = 131,949 × 131,949
  4. Step 4: Simplify right side
    86,967x = 17,410,538,601
  5. Step 5: Solve for x
    x = 17,410,538,601/86,967
  6. Step 6: Final answer
    x = 200,197.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.