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Finding the Third Proportional to 68,089 and 149,616

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Solution

The third proportional to 68,089 and 149,616 is: 328,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,089 : 149,616 = 149,616 : x
  2. Step 2: Convert to fraction form
    68,089/149,616 = 149,616/x
  3. Step 3: Cross multiply
    68,089x = 149,616 × 149,616
  4. Step 4: Simplify right side
    68,089x = 22,384,947,456
  5. Step 5: Solve for x
    x = 22,384,947,456/68,089
  6. Step 6: Final answer
    x = 328,760.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.