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Finding the Third Proportional to 84,512 and 177,163

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Solution

The third proportional to 84,512 and 177,163 is: 371,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,512 : 177,163 = 177,163 : x
  2. Step 2: Convert to fraction form
    84,512/177,163 = 177,163/x
  3. Step 3: Cross multiply
    84,512x = 177,163 × 177,163
  4. Step 4: Simplify right side
    84,512x = 31,386,728,569
  5. Step 5: Solve for x
    x = 31,386,728,569/84,512
  6. Step 6: Final answer
    x = 371,387.83

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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.