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Finding the Third Proportional to 69,994.69 and 108,086.06

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Solution

The third proportional to 69,994.69 and 108,086.06 is: 166,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,994.69 : 108,086.06 = 108,086.06 : x
  2. Step 2: Convert to fraction form
    69,994.69/108,086.06 = 108,086.06/x
  3. Step 3: Cross multiply
    69,994.69x = 108,086.06 × 108,086.06
  4. Step 4: Simplify right side
    69,994.69x = 11,682,596,906.75
  5. Step 5: Solve for x
    x = 11,682,596,906.75/69,994.69
  6. Step 6: Final answer
    x = 166,906.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.