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Finding the Third Proportional to 62,934 and 136,824

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Solution

The third proportional to 62,934 and 136,824 is: 297,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,934 : 136,824 = 136,824 : x
  2. Step 2: Convert to fraction form
    62,934/136,824 = 136,824/x
  3. Step 3: Cross multiply
    62,934x = 136,824 × 136,824
  4. Step 4: Simplify right side
    62,934x = 18,720,806,976
  5. Step 5: Solve for x
    x = 18,720,806,976/62,934
  6. Step 6: Final answer
    x = 297,467.30

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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.