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Finding the Third Proportional to 48,067 and 103,530

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Solution

The third proportional to 48,067 and 103,530 is: 222,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,067 : 103,530 = 103,530 : x
  2. Step 2: Convert to fraction form
    48,067/103,530 = 103,530/x
  3. Step 3: Cross multiply
    48,067x = 103,530 × 103,530
  4. Step 4: Simplify right side
    48,067x = 10,718,460,900
  5. Step 5: Solve for x
    x = 10,718,460,900/48,067
  6. Step 6: Final answer
    x = 222,990.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.