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Finding the Third Proportional to 76,695 and 166,884

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Solution

The third proportional to 76,695 and 166,884 is: 363,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,695 : 166,884 = 166,884 : x
  2. Step 2: Convert to fraction form
    76,695/166,884 = 166,884/x
  3. Step 3: Cross multiply
    76,695x = 166,884 × 166,884
  4. Step 4: Simplify right side
    76,695x = 27,850,269,456
  5. Step 5: Solve for x
    x = 27,850,269,456/76,695
  6. Step 6: Final answer
    x = 363,130.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.