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Finding the Third Proportional to 102,182 and 159,481

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Solution

The third proportional to 102,182 and 159,481 is: 248,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,182 : 159,481 = 159,481 : x
  2. Step 2: Convert to fraction form
    102,182/159,481 = 159,481/x
  3. Step 3: Cross multiply
    102,182x = 159,481 × 159,481
  4. Step 4: Simplify right side
    102,182x = 25,434,189,361
  5. Step 5: Solve for x
    x = 25,434,189,361/102,182
  6. Step 6: Final answer
    x = 248,910.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.