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Finding the Third Proportional to 49,994 and 105,608

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Solution

The third proportional to 49,994 and 105,608 is: 223,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,994 : 105,608 = 105,608 : x
  2. Step 2: Convert to fraction form
    49,994/105,608 = 105,608/x
  3. Step 3: Cross multiply
    49,994x = 105,608 × 105,608
  4. Step 4: Simplify right side
    49,994x = 11,153,049,664
  5. Step 5: Solve for x
    x = 11,153,049,664/49,994
  6. Step 6: Final answer
    x = 223,087.76

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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.