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Finding the Third Proportional to 111,942 and 151,996.50

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Solution

The third proportional to 111,942 and 151,996.50 is: 206,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,942 : 151,996.50 = 151,996.50 : x
  2. Step 2: Convert to fraction form
    111,942/151,996.50 = 151,996.50/x
  3. Step 3: Cross multiply
    111,942x = 151,996.50 × 151,996.50
  4. Step 4: Simplify right side
    111,942x = 23,102,936,012.25
  5. Step 5: Solve for x
    x = 23,102,936,012.25/111,942
  6. Step 6: Final answer
    x = 206,383.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.