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Finding the Third Proportional to 57,978 and 92,227

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Solution

The third proportional to 57,978 and 92,227 is: 146,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978 : 92,227 = 92,227 : x
  2. Step 2: Convert to fraction form
    57,978/92,227 = 92,227/x
  3. Step 3: Cross multiply
    57,978x = 92,227 × 92,227
  4. Step 4: Simplify right side
    57,978x = 8,505,819,529
  5. Step 5: Solve for x
    x = 8,505,819,529/57,978
  6. Step 6: Final answer
    x = 146,707.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.