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Finding the Third Proportional to 53,990 and 126,104

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Solution

The third proportional to 53,990 and 126,104 is: 294,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,990 : 126,104 = 126,104 : x
  2. Step 2: Convert to fraction form
    53,990/126,104 = 126,104/x
  3. Step 3: Cross multiply
    53,990x = 126,104 × 126,104
  4. Step 4: Simplify right side
    53,990x = 15,902,218,816
  5. Step 5: Solve for x
    x = 15,902,218,816/53,990
  6. Step 6: Final answer
    x = 294,540.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.