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Finding the Third Proportional to 47,751 and 103,998

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Solution

The third proportional to 47,751 and 103,998 is: 226,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751 : 103,998 = 103,998 : x
  2. Step 2: Convert to fraction form
    47,751/103,998 = 103,998/x
  3. Step 3: Cross multiply
    47,751x = 103,998 × 103,998
  4. Step 4: Simplify right side
    47,751x = 10,815,584,004
  5. Step 5: Solve for x
    x = 10,815,584,004/47,751
  6. Step 6: Final answer
    x = 226,499.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.