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Finding the Third Proportional to 68,383.50 and 109,874

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Solution

The third proportional to 68,383.50 and 109,874 is: 176,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,383.50 : 109,874 = 109,874 : x
  2. Step 2: Convert to fraction form
    68,383.50/109,874 = 109,874/x
  3. Step 3: Cross multiply
    68,383.50x = 109,874 × 109,874
  4. Step 4: Simplify right side
    68,383.50x = 12,072,295,876
  5. Step 5: Solve for x
    x = 12,072,295,876/68,383.50
  6. Step 6: Final answer
    x = 176,538.14

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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.