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Finding the Third Proportional to 25,012 and 54,992

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Solution

The third proportional to 25,012 and 54,992 is: 120,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,012 : 54,992 = 54,992 : x
  2. Step 2: Convert to fraction form
    25,012/54,992 = 54,992/x
  3. Step 3: Cross multiply
    25,012x = 54,992 × 54,992
  4. Step 4: Simplify right side
    25,012x = 3,024,120,064
  5. Step 5: Solve for x
    x = 3,024,120,064/25,012
  6. Step 6: Final answer
    x = 120,906.77

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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.