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Finding the Third Proportional to 53,694 and 118,116

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Solution

The third proportional to 53,694 and 118,116 is: 259,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694 : 118,116 = 118,116 : x
  2. Step 2: Convert to fraction form
    53,694/118,116 = 118,116/x
  3. Step 3: Cross multiply
    53,694x = 118,116 × 118,116
  4. Step 4: Simplify right side
    53,694x = 13,951,389,456
  5. Step 5: Solve for x
    x = 13,951,389,456/53,694
  6. Step 6: Final answer
    x = 259,831.44

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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.