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Finding the Third Proportional to 110,848 and 171,990

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Solution

The third proportional to 110,848 and 171,990 is: 266,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,848 : 171,990 = 171,990 : x
  2. Step 2: Convert to fraction form
    110,848/171,990 = 171,990/x
  3. Step 3: Cross multiply
    110,848x = 171,990 × 171,990
  4. Step 4: Simplify right side
    110,848x = 29,580,560,100
  5. Step 5: Solve for x
    x = 29,580,560,100/110,848
  6. Step 6: Final answer
    x = 266,856.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.