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Finding the Third Proportional to 49,134.75 and 107,262.75

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Solution

The third proportional to 49,134.75 and 107,262.75 is: 234,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134.75 : 107,262.75 = 107,262.75 : x
  2. Step 2: Convert to fraction form
    49,134.75/107,262.75 = 107,262.75/x
  3. Step 3: Cross multiply
    49,134.75x = 107,262.75 × 107,262.75
  4. Step 4: Simplify right side
    49,134.75x = 11,505,297,537.56
  5. Step 5: Solve for x
    x = 11,505,297,537.56/49,134.75
  6. Step 6: Final answer
    x = 234,158.06

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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.