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Finding the Third Proportional to 105,997 and 143,935

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Solution

The third proportional to 105,997 and 143,935 is: 195,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,997 : 143,935 = 143,935 : x
  2. Step 2: Convert to fraction form
    105,997/143,935 = 143,935/x
  3. Step 3: Cross multiply
    105,997x = 143,935 × 143,935
  4. Step 4: Simplify right side
    105,997x = 20,717,284,225
  5. Step 5: Solve for x
    x = 20,717,284,225/105,997
  6. Step 6: Final answer
    x = 195,451.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.