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Finding the Third Proportional to 67,940 and 102,936

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Solution

The third proportional to 67,940 and 102,936 is: 155,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,940 : 102,936 = 102,936 : x
  2. Step 2: Convert to fraction form
    67,940/102,936 = 102,936/x
  3. Step 3: Cross multiply
    67,940x = 102,936 × 102,936
  4. Step 4: Simplify right side
    67,940x = 10,595,820,096
  5. Step 5: Solve for x
    x = 10,595,820,096/67,940
  6. Step 6: Final answer
    x = 155,958.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.