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Finding the Third Proportional to 85,202 and 179,218

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Solution

The third proportional to 85,202 and 179,218 is: 376,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,202 : 179,218 = 179,218 : x
  2. Step 2: Convert to fraction form
    85,202/179,218 = 179,218/x
  3. Step 3: Cross multiply
    85,202x = 179,218 × 179,218
  4. Step 4: Simplify right side
    85,202x = 32,119,091,524
  5. Step 5: Solve for x
    x = 32,119,091,524/85,202
  6. Step 6: Final answer
    x = 376,975.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.