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Finding the Third Proportional to 54,254.25 and 116,831.25

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Solution

The third proportional to 54,254.25 and 116,831.25 is: 251,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,254.25 : 116,831.25 = 116,831.25 : x
  2. Step 2: Convert to fraction form
    54,254.25/116,831.25 = 116,831.25/x
  3. Step 3: Cross multiply
    54,254.25x = 116,831.25 × 116,831.25
  4. Step 4: Simplify right side
    54,254.25x = 13,649,540,976.56
  5. Step 5: Solve for x
    x = 13,649,540,976.56/54,254.25
  6. Step 6: Final answer
    x = 251,584.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.