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Finding the Third Proportional to 38,203 and 82,049

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Solution

The third proportional to 38,203 and 82,049 is: 176,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203 : 82,049 = 82,049 : x
  2. Step 2: Convert to fraction form
    38,203/82,049 = 82,049/x
  3. Step 3: Cross multiply
    38,203x = 82,049 × 82,049
  4. Step 4: Simplify right side
    38,203x = 6,732,038,401
  5. Step 5: Solve for x
    x = 6,732,038,401/38,203
  6. Step 6: Final answer
    x = 176,217.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.