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Finding the Third Proportional to 50,865 and 110,773.50

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Solution

The third proportional to 50,865 and 110,773.50 is: 241,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,865 : 110,773.50 = 110,773.50 : x
  2. Step 2: Convert to fraction form
    50,865/110,773.50 = 110,773.50/x
  3. Step 3: Cross multiply
    50,865x = 110,773.50 × 110,773.50
  4. Step 4: Simplify right side
    50,865x = 12,270,768,302.25
  5. Step 5: Solve for x
    x = 12,270,768,302.25/50,865
  6. Step 6: Final answer
    x = 241,241.88

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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.