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Finding the Third Proportional to 48,296 and 104,631

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Solution

The third proportional to 48,296 and 104,631 is: 226,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296 : 104,631 = 104,631 : x
  2. Step 2: Convert to fraction form
    48,296/104,631 = 104,631/x
  3. Step 3: Cross multiply
    48,296x = 104,631 × 104,631
  4. Step 4: Simplify right side
    48,296x = 10,947,646,161
  5. Step 5: Solve for x
    x = 10,947,646,161/48,296
  6. Step 6: Final answer
    x = 226,678.11

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