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Finding the Third Proportional to 49,244 and 104,396

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Solution

The third proportional to 49,244 and 104,396 is: 221,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,244 : 104,396 = 104,396 : x
  2. Step 2: Convert to fraction form
    49,244/104,396 = 104,396/x
  3. Step 3: Cross multiply
    49,244x = 104,396 × 104,396
  4. Step 4: Simplify right side
    49,244x = 10,898,524,816
  5. Step 5: Solve for x
    x = 10,898,524,816/49,244
  6. Step 6: Final answer
    x = 221,316.81

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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.