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Finding the Third Proportional to 48,684 and 101,067

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Solution

The third proportional to 48,684 and 101,067 is: 209,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684 : 101,067 = 101,067 : x
  2. Step 2: Convert to fraction form
    48,684/101,067 = 101,067/x
  3. Step 3: Cross multiply
    48,684x = 101,067 × 101,067
  4. Step 4: Simplify right side
    48,684x = 10,214,538,489
  5. Step 5: Solve for x
    x = 10,214,538,489/48,684
  6. Step 6: Final answer
    x = 209,813.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.