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Finding the Third Proportional to 36,554 and 80,089

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Solution

The third proportional to 36,554 and 80,089 is: 175,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,554 : 80,089 = 80,089 : x
  2. Step 2: Convert to fraction form
    36,554/80,089 = 80,089/x
  3. Step 3: Cross multiply
    36,554x = 80,089 × 80,089
  4. Step 4: Simplify right side
    36,554x = 6,414,247,921
  5. Step 5: Solve for x
    x = 6,414,247,921/36,554
  6. Step 6: Final answer
    x = 175,473.22

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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.