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Finding the Third Proportional to 47,647 and 102,471

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Solution

The third proportional to 47,647 and 102,471 is: 220,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,647 : 102,471 = 102,471 : x
  2. Step 2: Convert to fraction form
    47,647/102,471 = 102,471/x
  3. Step 3: Cross multiply
    47,647x = 102,471 × 102,471
  4. Step 4: Simplify right side
    47,647x = 10,500,305,841
  5. Step 5: Solve for x
    x = 10,500,305,841/47,647
  6. Step 6: Final answer
    x = 220,377.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.