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Finding the Third Proportional to 68,558 and 150,232

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Solution

The third proportional to 68,558 and 150,232 is: 329,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,558 : 150,232 = 150,232 : x
  2. Step 2: Convert to fraction form
    68,558/150,232 = 150,232/x
  3. Step 3: Cross multiply
    68,558x = 150,232 × 150,232
  4. Step 4: Simplify right side
    68,558x = 22,569,653,824
  5. Step 5: Solve for x
    x = 22,569,653,824/68,558
  6. Step 6: Final answer
    x = 329,205.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.