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Finding the Third Proportional to 47,917 and 103,978

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Solution

The third proportional to 47,917 and 103,978 is: 225,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,917 : 103,978 = 103,978 : x
  2. Step 2: Convert to fraction form
    47,917/103,978 = 103,978/x
  3. Step 3: Cross multiply
    47,917x = 103,978 × 103,978
  4. Step 4: Simplify right side
    47,917x = 10,811,424,484
  5. Step 5: Solve for x
    x = 10,811,424,484/47,917
  6. Step 6: Final answer
    x = 225,628.16

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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.