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Finding the Third Proportional to 45,589 and 68,994

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Solution

The third proportional to 45,589 and 68,994 is: 104,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,589 : 68,994 = 68,994 : x
  2. Step 2: Convert to fraction form
    45,589/68,994 = 68,994/x
  3. Step 3: Cross multiply
    45,589x = 68,994 × 68,994
  4. Step 4: Simplify right side
    45,589x = 4,760,172,036
  5. Step 5: Solve for x
    x = 4,760,172,036/45,589
  6. Step 6: Final answer
    x = 104,414.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.