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Finding the Third Proportional to 49,072.75 and 105,917

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Solution

The third proportional to 49,072.75 and 105,917 is: 228,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,072.75 : 105,917 = 105,917 : x
  2. Step 2: Convert to fraction form
    49,072.75/105,917 = 105,917/x
  3. Step 3: Cross multiply
    49,072.75x = 105,917 × 105,917
  4. Step 4: Simplify right side
    49,072.75x = 11,218,410,889
  5. Step 5: Solve for x
    x = 11,218,410,889/49,072.75
  6. Step 6: Final answer
    x = 228,607.75

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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.