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Finding the Third Proportional to 86,076 and 203,519

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Solution

The third proportional to 86,076 and 203,519 is: 481,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,076 : 203,519 = 203,519 : x
  2. Step 2: Convert to fraction form
    86,076/203,519 = 203,519/x
  3. Step 3: Cross multiply
    86,076x = 203,519 × 203,519
  4. Step 4: Simplify right side
    86,076x = 41,419,983,361
  5. Step 5: Solve for x
    x = 41,419,983,361/86,076
  6. Step 6: Final answer
    x = 481,202.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.