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Finding the Third Proportional to 65,227 and 98,965

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Solution

The third proportional to 65,227 and 98,965 is: 150,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,227 : 98,965 = 98,965 : x
  2. Step 2: Convert to fraction form
    65,227/98,965 = 98,965/x
  3. Step 3: Cross multiply
    65,227x = 98,965 × 98,965
  4. Step 4: Simplify right side
    65,227x = 9,794,071,225
  5. Step 5: Solve for x
    x = 9,794,071,225/65,227
  6. Step 6: Final answer
    x = 150,153.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.