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Finding the Third Proportional to 48,494 and 104,366

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Solution

The third proportional to 48,494 and 104,366 is: 224,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,494 : 104,366 = 104,366 : x
  2. Step 2: Convert to fraction form
    48,494/104,366 = 104,366/x
  3. Step 3: Cross multiply
    48,494x = 104,366 × 104,366
  4. Step 4: Simplify right side
    48,494x = 10,892,261,956
  5. Step 5: Solve for x
    x = 10,892,261,956/48,494
  6. Step 6: Final answer
    x = 224,610.51

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Why These Related Problems?

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