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Finding the Third Proportional to 45,204 and 69,994

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Solution

The third proportional to 45,204 and 69,994 is: 108,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,204 : 69,994 = 69,994 : x
  2. Step 2: Convert to fraction form
    45,204/69,994 = 69,994/x
  3. Step 3: Cross multiply
    45,204x = 69,994 × 69,994
  4. Step 4: Simplify right side
    45,204x = 4,899,160,036
  5. Step 5: Solve for x
    x = 4,899,160,036/45,204
  6. Step 6: Final answer
    x = 108,378.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.