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Finding the Third Proportional to 48,751 and 105,086

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Solution

The third proportional to 48,751 and 105,086 is: 226,519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,751 : 105,086 = 105,086 : x
  2. Step 2: Convert to fraction form
    48,751/105,086 = 105,086/x
  3. Step 3: Cross multiply
    48,751x = 105,086 × 105,086
  4. Step 4: Simplify right side
    48,751x = 11,043,067,396
  5. Step 5: Solve for x
    x = 11,043,067,396/48,751
  6. Step 6: Final answer
    x = 226,519.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.