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Finding the Third Proportional to 67,934 and 148,992

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Solution

The third proportional to 67,934 and 148,992 is: 326,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,934 : 148,992 = 148,992 : x
  2. Step 2: Convert to fraction form
    67,934/148,992 = 148,992/x
  3. Step 3: Cross multiply
    67,934x = 148,992 × 148,992
  4. Step 4: Simplify right side
    67,934x = 22,198,616,064
  5. Step 5: Solve for x
    x = 22,198,616,064/67,934
  6. Step 6: Final answer
    x = 326,767.39

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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.