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Finding the Third Proportional to 91,668 and 204,060

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Solution

The third proportional to 91,668 and 204,060 is: 454,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,668 : 204,060 = 204,060 : x
  2. Step 2: Convert to fraction form
    91,668/204,060 = 204,060/x
  3. Step 3: Cross multiply
    91,668x = 204,060 × 204,060
  4. Step 4: Simplify right side
    91,668x = 41,640,483,600
  5. Step 5: Solve for x
    x = 41,640,483,600/91,668
  6. Step 6: Final answer
    x = 454,253.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.