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Finding the Third Proportional to 68,995 and 150,626

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Solution

The third proportional to 68,995 and 150,626 is: 328,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,995 : 150,626 = 150,626 : x
  2. Step 2: Convert to fraction form
    68,995/150,626 = 150,626/x
  3. Step 3: Cross multiply
    68,995x = 150,626 × 150,626
  4. Step 4: Simplify right side
    68,995x = 22,688,191,876
  5. Step 5: Solve for x
    x = 22,688,191,876/68,995
  6. Step 6: Final answer
    x = 328,838.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.