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Finding the Third Proportional to 50,571 and 110,863.50

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Solution

The third proportional to 50,571 and 110,863.50 is: 243,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,571 : 110,863.50 = 110,863.50 : x
  2. Step 2: Convert to fraction form
    50,571/110,863.50 = 110,863.50/x
  3. Step 3: Cross multiply
    50,571x = 110,863.50 × 110,863.50
  4. Step 4: Simplify right side
    50,571x = 12,290,715,632.25
  5. Step 5: Solve for x
    x = 12,290,715,632.25/50,571
  6. Step 6: Final answer
    x = 243,038.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.