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Finding the Third Proportional to 77,606 and 166,285

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Solution

The third proportional to 77,606 and 166,285 is: 356,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,606 : 166,285 = 166,285 : x
  2. Step 2: Convert to fraction form
    77,606/166,285 = 166,285/x
  3. Step 3: Cross multiply
    77,606x = 166,285 × 166,285
  4. Step 4: Simplify right side
    77,606x = 27,650,701,225
  5. Step 5: Solve for x
    x = 27,650,701,225/77,606
  6. Step 6: Final answer
    x = 356,295.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.