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Finding the Third Proportional to 111,936 and 155,143

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Solution

The third proportional to 111,936 and 155,143 is: 215,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,936 : 155,143 = 155,143 : x
  2. Step 2: Convert to fraction form
    111,936/155,143 = 155,143/x
  3. Step 3: Cross multiply
    111,936x = 155,143 × 155,143
  4. Step 4: Simplify right side
    111,936x = 24,069,350,449
  5. Step 5: Solve for x
    x = 24,069,350,449/111,936
  6. Step 6: Final answer
    x = 215,027.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.