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Finding the Third Proportional to 49,035 and 105,847

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Solution

The third proportional to 49,035 and 105,847 is: 228,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,035 : 105,847 = 105,847 : x
  2. Step 2: Convert to fraction form
    49,035/105,847 = 105,847/x
  3. Step 3: Cross multiply
    49,035x = 105,847 × 105,847
  4. Step 4: Simplify right side
    49,035x = 11,203,587,409
  5. Step 5: Solve for x
    x = 11,203,587,409/49,035
  6. Step 6: Final answer
    x = 228,481.44

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