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Finding the Third Proportional to 73,926 and 167,592.38

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Solution

The third proportional to 73,926 and 167,592.38 is: 379,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,926 : 167,592.38 = 167,592.38 : x
  2. Step 2: Convert to fraction form
    73,926/167,592.38 = 167,592.38/x
  3. Step 3: Cross multiply
    73,926x = 167,592.38 × 167,592.38
  4. Step 4: Simplify right side
    73,926x = 28,087,204,158.14
  5. Step 5: Solve for x
    x = 28,087,204,158.14/73,926
  6. Step 6: Final answer
    x = 379,936.75

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.