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Finding the Third Proportional to 85,172 and 179,171

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Solution

The third proportional to 85,172 and 179,171 is: 376,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,172 : 179,171 = 179,171 : x
  2. Step 2: Convert to fraction form
    85,172/179,171 = 179,171/x
  3. Step 3: Cross multiply
    85,172x = 179,171 × 179,171
  4. Step 4: Simplify right side
    85,172x = 32,102,247,241
  5. Step 5: Solve for x
    x = 32,102,247,241/85,172
  6. Step 6: Final answer
    x = 376,910.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.