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Finding the Third Proportional to 76,749 and 166,374

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Solution

The third proportional to 76,749 and 166,374 is: 360,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,749 : 166,374 = 166,374 : x
  2. Step 2: Convert to fraction form
    76,749/166,374 = 166,374/x
  3. Step 3: Cross multiply
    76,749x = 166,374 × 166,374
  4. Step 4: Simplify right side
    76,749x = 27,680,307,876
  5. Step 5: Solve for x
    x = 27,680,307,876/76,749
  6. Step 6: Final answer
    x = 360,660.18

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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.