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Finding the Third Proportional to 49,511.25 and 104,895

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Solution

The third proportional to 49,511.25 and 104,895 is: 222,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,511.25 : 104,895 = 104,895 : x
  2. Step 2: Convert to fraction form
    49,511.25/104,895 = 104,895/x
  3. Step 3: Cross multiply
    49,511.25x = 104,895 × 104,895
  4. Step 4: Simplify right side
    49,511.25x = 11,002,961,025
  5. Step 5: Solve for x
    x = 11,002,961,025/49,511.25
  6. Step 6: Final answer
    x = 222,231.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.