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Finding the Third Proportional to 83,082 and 181,201

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Solution

The third proportional to 83,082 and 181,201 is: 395,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082 : 181,201 = 181,201 : x
  2. Step 2: Convert to fraction form
    83,082/181,201 = 181,201/x
  3. Step 3: Cross multiply
    83,082x = 181,201 × 181,201
  4. Step 4: Simplify right side
    83,082x = 32,833,802,401
  5. Step 5: Solve for x
    x = 32,833,802,401/83,082
  6. Step 6: Final answer
    x = 395,197.54

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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.