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Finding the Third Proportional to 53,691 and 118,110

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Solution

The third proportional to 53,691 and 118,110 is: 259,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,691 : 118,110 = 118,110 : x
  2. Step 2: Convert to fraction form
    53,691/118,110 = 118,110/x
  3. Step 3: Cross multiply
    53,691x = 118,110 × 118,110
  4. Step 4: Simplify right side
    53,691x = 13,949,972,100
  5. Step 5: Solve for x
    x = 13,949,972,100/53,691
  6. Step 6: Final answer
    x = 259,819.56

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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.