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Finding the Third Proportional to 48,126 and 74,067

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Solution

The third proportional to 48,126 and 74,067 is: 113,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,126 : 74,067 = 74,067 : x
  2. Step 2: Convert to fraction form
    48,126/74,067 = 74,067/x
  3. Step 3: Cross multiply
    48,126x = 74,067 × 74,067
  4. Step 4: Simplify right side
    48,126x = 5,485,920,489
  5. Step 5: Solve for x
    x = 5,485,920,489/48,126
  6. Step 6: Final answer
    x = 113,990.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.