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Finding the Third Proportional to 68,144 and 159,171

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Solution

The third proportional to 68,144 and 159,171 is: 371,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144 : 159,171 = 159,171 : x
  2. Step 2: Convert to fraction form
    68,144/159,171 = 159,171/x
  3. Step 3: Cross multiply
    68,144x = 159,171 × 159,171
  4. Step 4: Simplify right side
    68,144x = 25,335,407,241
  5. Step 5: Solve for x
    x = 25,335,407,241/68,144
  6. Step 6: Final answer
    x = 371,792.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.