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Finding the Third Proportional to 75,339 and 166,014

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Solution

The third proportional to 75,339 and 166,014 is: 365,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,339 : 166,014 = 166,014 : x
  2. Step 2: Convert to fraction form
    75,339/166,014 = 166,014/x
  3. Step 3: Cross multiply
    75,339x = 166,014 × 166,014
  4. Step 4: Simplify right side
    75,339x = 27,560,648,196
  5. Step 5: Solve for x
    x = 27,560,648,196/75,339
  6. Step 6: Final answer
    x = 365,821.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.