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Finding the Third Proportional to 110,858 and 166,115

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Solution

The third proportional to 110,858 and 166,115 is: 248,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,858 : 166,115 = 166,115 : x
  2. Step 2: Convert to fraction form
    110,858/166,115 = 166,115/x
  3. Step 3: Cross multiply
    110,858x = 166,115 × 166,115
  4. Step 4: Simplify right side
    110,858x = 27,594,193,225
  5. Step 5: Solve for x
    x = 27,594,193,225/110,858
  6. Step 6: Final answer
    x = 248,914.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.