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Finding the Third Proportional to 47,900 and 104,092

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Solution

The third proportional to 47,900 and 104,092 is: 226,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,900 : 104,092 = 104,092 : x
  2. Step 2: Convert to fraction form
    47,900/104,092 = 104,092/x
  3. Step 3: Cross multiply
    47,900x = 104,092 × 104,092
  4. Step 4: Simplify right side
    47,900x = 10,835,144,464
  5. Step 5: Solve for x
    x = 10,835,144,464/47,900
  6. Step 6: Final answer
    x = 226,203.43

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