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Finding the Third Proportional to 49,408.50 and 106,593

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Solution

The third proportional to 49,408.50 and 106,593 is: 229,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408.50 : 106,593 = 106,593 : x
  2. Step 2: Convert to fraction form
    49,408.50/106,593 = 106,593/x
  3. Step 3: Cross multiply
    49,408.50x = 106,593 × 106,593
  4. Step 4: Simplify right side
    49,408.50x = 11,362,067,649
  5. Step 5: Solve for x
    x = 11,362,067,649/49,408.50
  6. Step 6: Final answer
    x = 229,961.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.