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Finding the Third Proportional to 68,906 and 103,899

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Solution

The third proportional to 68,906 and 103,899 is: 156,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,906 : 103,899 = 103,899 : x
  2. Step 2: Convert to fraction form
    68,906/103,899 = 103,899/x
  3. Step 3: Cross multiply
    68,906x = 103,899 × 103,899
  4. Step 4: Simplify right side
    68,906x = 10,795,002,201
  5. Step 5: Solve for x
    x = 10,795,002,201/68,906
  6. Step 6: Final answer
    x = 156,662.73

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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.