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Finding the Third Proportional to 54,040.50 and 126,258.75

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Solution

The third proportional to 54,040.50 and 126,258.75 is: 294,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,040.50 : 126,258.75 = 126,258.75 : x
  2. Step 2: Convert to fraction form
    54,040.50/126,258.75 = 126,258.75/x
  3. Step 3: Cross multiply
    54,040.50x = 126,258.75 × 126,258.75
  4. Step 4: Simplify right side
    54,040.50x = 15,941,271,951.56
  5. Step 5: Solve for x
    x = 15,941,271,951.56/54,040.50
  6. Step 6: Final answer
    x = 294,987.50

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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.