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Finding the Third Proportional to 88,481 and 192,512

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Solution

The third proportional to 88,481 and 192,512 is: 418,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,481 : 192,512 = 192,512 : x
  2. Step 2: Convert to fraction form
    88,481/192,512 = 192,512/x
  3. Step 3: Cross multiply
    88,481x = 192,512 × 192,512
  4. Step 4: Simplify right side
    88,481x = 37,060,870,144
  5. Step 5: Solve for x
    x = 37,060,870,144/88,481
  6. Step 6: Final answer
    x = 418,856.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.