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Finding the Third Proportional to 53,668 and 117,908

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Solution

The third proportional to 53,668 and 117,908 is: 259,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,668 : 117,908 = 117,908 : x
  2. Step 2: Convert to fraction form
    53,668/117,908 = 117,908/x
  3. Step 3: Cross multiply
    53,668x = 117,908 × 117,908
  4. Step 4: Simplify right side
    53,668x = 13,902,296,464
  5. Step 5: Solve for x
    x = 13,902,296,464/53,668
  6. Step 6: Final answer
    x = 259,042.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.