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Finding the Third Proportional to 68,067 and 147,069

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Solution

The third proportional to 68,067 and 147,069 is: 317,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,067 : 147,069 = 147,069 : x
  2. Step 2: Convert to fraction form
    68,067/147,069 = 147,069/x
  3. Step 3: Cross multiply
    68,067x = 147,069 × 147,069
  4. Step 4: Simplify right side
    68,067x = 21,629,290,761
  5. Step 5: Solve for x
    x = 21,629,290,761/68,067
  6. Step 6: Final answer
    x = 317,764.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.