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Finding the Third Proportional to 79,299 and 171,663

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Solution

The third proportional to 79,299 and 171,663 is: 371,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,299 : 171,663 = 171,663 : x
  2. Step 2: Convert to fraction form
    79,299/171,663 = 171,663/x
  3. Step 3: Cross multiply
    79,299x = 171,663 × 171,663
  4. Step 4: Simplify right side
    79,299x = 29,468,185,569
  5. Step 5: Solve for x
    x = 29,468,185,569/79,299
  6. Step 6: Final answer
    x = 371,608.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.