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Finding the Third Proportional to 49,236.75 and 118,704.38

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Solution

The third proportional to 49,236.75 and 118,704.38 is: 286,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236.75 : 118,704.38 = 118,704.38 : x
  2. Step 2: Convert to fraction form
    49,236.75/118,704.38 = 118,704.38/x
  3. Step 3: Cross multiply
    49,236.75x = 118,704.38 × 118,704.38
  4. Step 4: Simplify right side
    49,236.75x = 14,090,728,644.14
  5. Step 5: Solve for x
    x = 14,090,728,644.14/49,236.75
  6. Step 6: Final answer
    x = 286,183.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.