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Finding the Third Proportional to 57,844.69 and 126,768.38

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Solution

The third proportional to 57,844.69 and 126,768.38 is: 277,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,844.69 : 126,768.38 = 126,768.38 : x
  2. Step 2: Convert to fraction form
    57,844.69/126,768.38 = 126,768.38/x
  3. Step 3: Cross multiply
    57,844.69x = 126,768.38 × 126,768.38
  4. Step 4: Simplify right side
    57,844.69x = 16,070,220,900.14
  5. Step 5: Solve for x
    x = 16,070,220,900.14/57,844.69
  6. Step 6: Final answer
    x = 277,816.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.