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Finding the Third Proportional to 47,462 and 104,398

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Solution

The third proportional to 47,462 and 104,398 is: 229,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,462 : 104,398 = 104,398 : x
  2. Step 2: Convert to fraction form
    47,462/104,398 = 104,398/x
  3. Step 3: Cross multiply
    47,462x = 104,398 × 104,398
  4. Step 4: Simplify right side
    47,462x = 10,898,942,404
  5. Step 5: Solve for x
    x = 10,898,942,404/47,462
  6. Step 6: Final answer
    x = 229,635.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.