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Finding the Third Proportional to 49,967 and 105,549

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Solution

The third proportional to 49,967 and 105,549 is: 222,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,967 : 105,549 = 105,549 : x
  2. Step 2: Convert to fraction form
    49,967/105,549 = 105,549/x
  3. Step 3: Cross multiply
    49,967x = 105,549 × 105,549
  4. Step 4: Simplify right side
    49,967x = 11,140,591,401
  5. Step 5: Solve for x
    x = 11,140,591,401/49,967
  6. Step 6: Final answer
    x = 222,958.98

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