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Finding the Third Proportional to 49,408 and 102,912

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Solution

The third proportional to 49,408 and 102,912 is: 214,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408 : 102,912 = 102,912 : x
  2. Step 2: Convert to fraction form
    49,408/102,912 = 102,912/x
  3. Step 3: Cross multiply
    49,408x = 102,912 × 102,912
  4. Step 4: Simplify right side
    49,408x = 10,590,879,744
  5. Step 5: Solve for x
    x = 10,590,879,744/49,408
  6. Step 6: Final answer
    x = 214,355.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.