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Finding the Third Proportional to 73,252 and 140,668

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Solution

The third proportional to 73,252 and 140,668 is: 270,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,252 : 140,668 = 140,668 : x
  2. Step 2: Convert to fraction form
    73,252/140,668 = 140,668/x
  3. Step 3: Cross multiply
    73,252x = 140,668 × 140,668
  4. Step 4: Simplify right side
    73,252x = 19,787,486,224
  5. Step 5: Solve for x
    x = 19,787,486,224/73,252
  6. Step 6: Final answer
    x = 270,128.96

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.