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Finding the Third Proportional to 74,634.75 and 111,906

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Solution

The third proportional to 74,634.75 and 111,906 is: 167,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,634.75 : 111,906 = 111,906 : x
  2. Step 2: Convert to fraction form
    74,634.75/111,906 = 111,906/x
  3. Step 3: Cross multiply
    74,634.75x = 111,906 × 111,906
  4. Step 4: Simplify right side
    74,634.75x = 12,522,952,836
  5. Step 5: Solve for x
    x = 12,522,952,836/74,634.75
  6. Step 6: Final answer
    x = 167,789.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.