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Finding the Third Proportional to 76,724.72 and 166,571.44

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Solution

The third proportional to 76,724.72 and 166,571.44 is: 361,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724.72 : 166,571.44 = 166,571.44 : x
  2. Step 2: Convert to fraction form
    76,724.72/166,571.44 = 166,571.44/x
  3. Step 3: Cross multiply
    76,724.72x = 166,571.44 × 166,571.44
  4. Step 4: Simplify right side
    76,724.72x = 27,746,043,790.82
  5. Step 5: Solve for x
    x = 27,746,043,790.82/76,724.72
  6. Step 6: Final answer
    x = 361,631.09

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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.