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Finding the Third Proportional to 42,589 and 92,612

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Solution

The third proportional to 42,589 and 92,612 is: 201,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,589 : 92,612 = 92,612 : x
  2. Step 2: Convert to fraction form
    42,589/92,612 = 92,612/x
  3. Step 3: Cross multiply
    42,589x = 92,612 × 92,612
  4. Step 4: Simplify right side
    42,589x = 8,576,982,544
  5. Step 5: Solve for x
    x = 8,576,982,544/42,589
  6. Step 6: Final answer
    x = 201,389.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.