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Finding the Third Proportional to 68,848 and 143,936

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Solution

The third proportional to 68,848 and 143,936 is: 300,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,848 : 143,936 = 143,936 : x
  2. Step 2: Convert to fraction form
    68,848/143,936 = 143,936/x
  3. Step 3: Cross multiply
    68,848x = 143,936 × 143,936
  4. Step 4: Simplify right side
    68,848x = 20,717,572,096
  5. Step 5: Solve for x
    x = 20,717,572,096/68,848
  6. Step 6: Final answer
    x = 300,917.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.