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Finding the Third Proportional to 47,841 and 103,977

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Solution

The third proportional to 47,841 and 103,977 is: 225,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841 : 103,977 = 103,977 : x
  2. Step 2: Convert to fraction form
    47,841/103,977 = 103,977/x
  3. Step 3: Cross multiply
    47,841x = 103,977 × 103,977
  4. Step 4: Simplify right side
    47,841x = 10,811,216,529
  5. Step 5: Solve for x
    x = 10,811,216,529/47,841
  6. Step 6: Final answer
    x = 225,982.24

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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.