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Finding the Third Proportional to 49,785 and 104,187

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Solution

The third proportional to 49,785 and 104,187 is: 218,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,785 : 104,187 = 104,187 : x
  2. Step 2: Convert to fraction form
    49,785/104,187 = 104,187/x
  3. Step 3: Cross multiply
    49,785x = 104,187 × 104,187
  4. Step 4: Simplify right side
    49,785x = 10,854,930,969
  5. Step 5: Solve for x
    x = 10,854,930,969/49,785
  6. Step 6: Final answer
    x = 218,036.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.