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Finding the Third Proportional to 89,586 and 136,593

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Solution

The third proportional to 89,586 and 136,593 is: 208,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,586 : 136,593 = 136,593 : x
  2. Step 2: Convert to fraction form
    89,586/136,593 = 136,593/x
  3. Step 3: Cross multiply
    89,586x = 136,593 × 136,593
  4. Step 4: Simplify right side
    89,586x = 18,657,647,649
  5. Step 5: Solve for x
    x = 18,657,647,649/89,586
  6. Step 6: Final answer
    x = 208,265.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.