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Finding the Third Proportional to 62,668 and 135,722

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Solution

The third proportional to 62,668 and 135,722 is: 293,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,668 : 135,722 = 135,722 : x
  2. Step 2: Convert to fraction form
    62,668/135,722 = 135,722/x
  3. Step 3: Cross multiply
    62,668x = 135,722 × 135,722
  4. Step 4: Simplify right side
    62,668x = 18,420,461,284
  5. Step 5: Solve for x
    x = 18,420,461,284/62,668
  6. Step 6: Final answer
    x = 293,937.28

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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.