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Finding the Third Proportional to 65,632 and 143,978

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Solution

The third proportional to 65,632 and 143,978 is: 315,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,632 : 143,978 = 143,978 : x
  2. Step 2: Convert to fraction form
    65,632/143,978 = 143,978/x
  3. Step 3: Cross multiply
    65,632x = 143,978 × 143,978
  4. Step 4: Simplify right side
    65,632x = 20,729,664,484
  5. Step 5: Solve for x
    x = 20,729,664,484/65,632
  6. Step 6: Final answer
    x = 315,846.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.