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Finding the Third Proportional to 76,737 and 166,596

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Solution

The third proportional to 76,737 and 166,596 is: 361,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,737 : 166,596 = 166,596 : x
  2. Step 2: Convert to fraction form
    76,737/166,596 = 166,596/x
  3. Step 3: Cross multiply
    76,737x = 166,596 × 166,596
  4. Step 4: Simplify right side
    76,737x = 27,754,227,216
  5. Step 5: Solve for x
    x = 27,754,227,216/76,737
  6. Step 6: Final answer
    x = 361,679.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.