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Finding the Third Proportional to 49,941.56 and 106,239.09

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Solution

The third proportional to 49,941.56 and 106,239.09 is: 225,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,941.56 : 106,239.09 = 106,239.09 : x
  2. Step 2: Convert to fraction form
    49,941.56/106,239.09 = 106,239.09/x
  3. Step 3: Cross multiply
    49,941.56x = 106,239.09 × 106,239.09
  4. Step 4: Simplify right side
    49,941.56x = 11,286,745,040.82
  5. Step 5: Solve for x
    x = 11,286,745,040.82/49,941.56
  6. Step 6: Final answer
    x = 225,999.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.