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Finding the Third Proportional to 68,914 and 111,021

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Solution

The third proportional to 68,914 and 111,021 is: 178,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,914 : 111,021 = 111,021 : x
  2. Step 2: Convert to fraction form
    68,914/111,021 = 111,021/x
  3. Step 3: Cross multiply
    68,914x = 111,021 × 111,021
  4. Step 4: Simplify right side
    68,914x = 12,325,662,441
  5. Step 5: Solve for x
    x = 12,325,662,441/68,914
  6. Step 6: Final answer
    x = 178,855.71

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.