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Finding the Third Proportional to 71,668 and 111,344

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Solution

The third proportional to 71,668 and 111,344 is: 172,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,668 : 111,344 = 111,344 : x
  2. Step 2: Convert to fraction form
    71,668/111,344 = 111,344/x
  3. Step 3: Cross multiply
    71,668x = 111,344 × 111,344
  4. Step 4: Simplify right side
    71,668x = 12,397,486,336
  5. Step 5: Solve for x
    x = 12,397,486,336/71,668
  6. Step 6: Final answer
    x = 172,984.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.