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Finding the Third Proportional to 49,744 and 104,294

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Solution

The third proportional to 49,744 and 104,294 is: 218,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,744 : 104,294 = 104,294 : x
  2. Step 2: Convert to fraction form
    49,744/104,294 = 104,294/x
  3. Step 3: Cross multiply
    49,744x = 104,294 × 104,294
  4. Step 4: Simplify right side
    49,744x = 10,877,238,436
  5. Step 5: Solve for x
    x = 10,877,238,436/49,744
  6. Step 6: Final answer
    x = 218,664.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.