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Finding the Third Proportional to 53,947.13 and 126,003.38

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Solution

The third proportional to 53,947.13 and 126,003.38 is: 294,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,947.13 : 126,003.38 = 126,003.38 : x
  2. Step 2: Convert to fraction form
    53,947.13/126,003.38 = 126,003.38/x
  3. Step 3: Cross multiply
    53,947.13x = 126,003.38 × 126,003.38
  4. Step 4: Simplify right side
    53,947.13x = 15,876,850,511.39
  5. Step 5: Solve for x
    x = 15,876,850,511.39/53,947.13
  6. Step 6: Final answer
    x = 294,303.92

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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.