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Finding the Third Proportional to 49,601 and 107,043

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Solution

The third proportional to 49,601 and 107,043 is: 231,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,601 : 107,043 = 107,043 : x
  2. Step 2: Convert to fraction form
    49,601/107,043 = 107,043/x
  3. Step 3: Cross multiply
    49,601x = 107,043 × 107,043
  4. Step 4: Simplify right side
    49,601x = 11,458,203,849
  5. Step 5: Solve for x
    x = 11,458,203,849/49,601
  6. Step 6: Final answer
    x = 231,007.52

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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.