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Finding the Third Proportional to 68,208 and 159,312

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Solution

The third proportional to 68,208 and 159,312 is: 372,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,208 : 159,312 = 159,312 : x
  2. Step 2: Convert to fraction form
    68,208/159,312 = 159,312/x
  3. Step 3: Cross multiply
    68,208x = 159,312 × 159,312
  4. Step 4: Simplify right side
    68,208x = 25,380,313,344
  5. Step 5: Solve for x
    x = 25,380,313,344/68,208
  6. Step 6: Final answer
    x = 372,101.71

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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.