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Finding the Third Proportional to 47,898 and 104,174

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Solution

The third proportional to 47,898 and 104,174 is: 226,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,898 : 104,174 = 104,174 : x
  2. Step 2: Convert to fraction form
    47,898/104,174 = 104,174/x
  3. Step 3: Cross multiply
    47,898x = 104,174 × 104,174
  4. Step 4: Simplify right side
    47,898x = 10,852,222,276
  5. Step 5: Solve for x
    x = 10,852,222,276/47,898
  6. Step 6: Final answer
    x = 226,569.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.