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Finding the Third Proportional to 73,822.50 and 161,177

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Solution

The third proportional to 73,822.50 and 161,177 is: 351,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,822.50 : 161,177 = 161,177 : x
  2. Step 2: Convert to fraction form
    73,822.50/161,177 = 161,177/x
  3. Step 3: Cross multiply
    73,822.50x = 161,177 × 161,177
  4. Step 4: Simplify right side
    73,822.50x = 25,978,025,329
  5. Step 5: Solve for x
    x = 25,978,025,329/73,822.50
  6. Step 6: Final answer
    x = 351,898.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.