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Finding the Third Proportional to 61,589 and 135,301

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Solution

The third proportional to 61,589 and 135,301 is: 297,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,589 : 135,301 = 135,301 : x
  2. Step 2: Convert to fraction form
    61,589/135,301 = 135,301/x
  3. Step 3: Cross multiply
    61,589x = 135,301 × 135,301
  4. Step 4: Simplify right side
    61,589x = 18,306,360,601
  5. Step 5: Solve for x
    x = 18,306,360,601/61,589
  6. Step 6: Final answer
    x = 297,234.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.