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Finding the Third Proportional to 49,344 and 104,838

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Solution

The third proportional to 49,344 and 104,838 is: 222,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344 : 104,838 = 104,838 : x
  2. Step 2: Convert to fraction form
    49,344/104,838 = 104,838/x
  3. Step 3: Cross multiply
    49,344x = 104,838 × 104,838
  4. Step 4: Simplify right side
    49,344x = 10,991,006,244
  5. Step 5: Solve for x
    x = 10,991,006,244/49,344
  6. Step 6: Final answer
    x = 222,742.51

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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.