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Finding the Third Proportional to 102,162 and 218,538

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Solution

The third proportional to 102,162 and 218,538 is: 467,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,162 : 218,538 = 218,538 : x
  2. Step 2: Convert to fraction form
    102,162/218,538 = 218,538/x
  3. Step 3: Cross multiply
    102,162x = 218,538 × 218,538
  4. Step 4: Simplify right side
    102,162x = 47,758,857,444
  5. Step 5: Solve for x
    x = 47,758,857,444/102,162
  6. Step 6: Final answer
    x = 467,481.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.