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Finding the Third Proportional to 49,648 and 104,896

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Solution

The third proportional to 49,648 and 104,896 is: 221,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648 : 104,896 = 104,896 : x
  2. Step 2: Convert to fraction form
    49,648/104,896 = 104,896/x
  3. Step 3: Cross multiply
    49,648x = 104,896 × 104,896
  4. Step 4: Simplify right side
    49,648x = 11,003,170,816
  5. Step 5: Solve for x
    x = 11,003,170,816/49,648
  6. Step 6: Final answer
    x = 221,623.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.