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Finding the Third Proportional to 36,122 and 53,872

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Solution

The third proportional to 36,122 and 53,872 is: 80,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,122 : 53,872 = 53,872 : x
  2. Step 2: Convert to fraction form
    36,122/53,872 = 53,872/x
  3. Step 3: Cross multiply
    36,122x = 53,872 × 53,872
  4. Step 4: Simplify right side
    36,122x = 2,902,192,384
  5. Step 5: Solve for x
    x = 2,902,192,384/36,122
  6. Step 6: Final answer
    x = 80,344.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.