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Finding the Third Proportional to 49,546.50 and 107,841

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Solution

The third proportional to 49,546.50 and 107,841 is: 234,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,546.50 : 107,841 = 107,841 : x
  2. Step 2: Convert to fraction form
    49,546.50/107,841 = 107,841/x
  3. Step 3: Cross multiply
    49,546.50x = 107,841 × 107,841
  4. Step 4: Simplify right side
    49,546.50x = 11,629,681,281
  5. Step 5: Solve for x
    x = 11,629,681,281/49,546.50
  6. Step 6: Final answer
    x = 234,722.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.