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Finding the Third Proportional to 48,077 and 104,266

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Solution

The third proportional to 48,077 and 104,266 is: 226,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,077 : 104,266 = 104,266 : x
  2. Step 2: Convert to fraction form
    48,077/104,266 = 104,266/x
  3. Step 3: Cross multiply
    48,077x = 104,266 × 104,266
  4. Step 4: Simplify right side
    48,077x = 10,871,398,756
  5. Step 5: Solve for x
    x = 10,871,398,756/48,077
  6. Step 6: Final answer
    x = 226,124.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.