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Finding the Third Proportional to 76,227.75 and 166,995

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Solution

The third proportional to 76,227.75 and 166,995 is: 365,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,227.75 : 166,995 = 166,995 : x
  2. Step 2: Convert to fraction form
    76,227.75/166,995 = 166,995/x
  3. Step 3: Cross multiply
    76,227.75x = 166,995 × 166,995
  4. Step 4: Simplify right side
    76,227.75x = 27,887,330,025
  5. Step 5: Solve for x
    x = 27,887,330,025/76,227.75
  6. Step 6: Final answer
    x = 365,842.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.