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Finding the Third Proportional to 67,668 and 145,311

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Solution

The third proportional to 67,668 and 145,311 is: 312,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,668 : 145,311 = 145,311 : x
  2. Step 2: Convert to fraction form
    67,668/145,311 = 145,311/x
  3. Step 3: Cross multiply
    67,668x = 145,311 × 145,311
  4. Step 4: Simplify right side
    67,668x = 21,115,286,721
  5. Step 5: Solve for x
    x = 21,115,286,721/67,668
  6. Step 6: Final answer
    x = 312,042.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.