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Finding the Third Proportional to 53,296 and 108,422

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Solution

The third proportional to 53,296 and 108,422 is: 220,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,296 : 108,422 = 108,422 : x
  2. Step 2: Convert to fraction form
    53,296/108,422 = 108,422/x
  3. Step 3: Cross multiply
    53,296x = 108,422 × 108,422
  4. Step 4: Simplify right side
    53,296x = 11,755,330,084
  5. Step 5: Solve for x
    x = 11,755,330,084/53,296
  6. Step 6: Final answer
    x = 220,566.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.