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Finding the Third Proportional to 50,736 and 111,840

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Solution

The third proportional to 50,736 and 111,840 is: 246,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,736 : 111,840 = 111,840 : x
  2. Step 2: Convert to fraction form
    50,736/111,840 = 111,840/x
  3. Step 3: Cross multiply
    50,736x = 111,840 × 111,840
  4. Step 4: Simplify right side
    50,736x = 12,508,185,600
  5. Step 5: Solve for x
    x = 12,508,185,600/50,736
  6. Step 6: Final answer
    x = 246,534.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.