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Finding the Third Proportional to 85,174 and 179,167

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Solution

The third proportional to 85,174 and 179,167 is: 376,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174 : 179,167 = 179,167 : x
  2. Step 2: Convert to fraction form
    85,174/179,167 = 179,167/x
  3. Step 3: Cross multiply
    85,174x = 179,167 × 179,167
  4. Step 4: Simplify right side
    85,174x = 32,100,813,889
  5. Step 5: Solve for x
    x = 32,100,813,889/85,174
  6. Step 6: Final answer
    x = 376,885.13

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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.