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Finding the Third Proportional to 81,696 and 171,636

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Solution

The third proportional to 81,696 and 171,636 is: 360,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,696 : 171,636 = 171,636 : x
  2. Step 2: Convert to fraction form
    81,696/171,636 = 171,636/x
  3. Step 3: Cross multiply
    81,696x = 171,636 × 171,636
  4. Step 4: Simplify right side
    81,696x = 29,458,916,496
  5. Step 5: Solve for x
    x = 29,458,916,496/81,696
  6. Step 6: Final answer
    x = 360,591.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.