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Finding the Third Proportional to 50,979 and 110,716.50

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Solution

The third proportional to 50,979 and 110,716.50 is: 240,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,979 : 110,716.50 = 110,716.50 : x
  2. Step 2: Convert to fraction form
    50,979/110,716.50 = 110,716.50/x
  3. Step 3: Cross multiply
    50,979x = 110,716.50 × 110,716.50
  4. Step 4: Simplify right side
    50,979x = 12,258,143,372.25
  5. Step 5: Solve for x
    x = 12,258,143,372.25/50,979
  6. Step 6: Final answer
    x = 240,454.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.