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Finding the Third Proportional to 65,978 and 155,593

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Solution

The third proportional to 65,978 and 155,593 is: 366,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,978 : 155,593 = 155,593 : x
  2. Step 2: Convert to fraction form
    65,978/155,593 = 155,593/x
  3. Step 3: Cross multiply
    65,978x = 155,593 × 155,593
  4. Step 4: Simplify right side
    65,978x = 24,209,181,649
  5. Step 5: Solve for x
    x = 24,209,181,649/65,978
  6. Step 6: Final answer
    x = 366,928.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.