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Finding the Third Proportional to 23,118 and 54,028.50

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Solution

The third proportional to 23,118 and 54,028.50 is: 126,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118 : 54,028.50 = 54,028.50 : x
  2. Step 2: Convert to fraction form
    23,118/54,028.50 = 54,028.50/x
  3. Step 3: Cross multiply
    23,118x = 54,028.50 × 54,028.50
  4. Step 4: Simplify right side
    23,118x = 2,919,078,812.25
  5. Step 5: Solve for x
    x = 2,919,078,812.25/23,118
  6. Step 6: Final answer
    x = 126,268.66

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.