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Finding the Third Proportional to 96,400 and 140,176

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Solution

The third proportional to 96,400 and 140,176 is: 203,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,400 : 140,176 = 140,176 : x
  2. Step 2: Convert to fraction form
    96,400/140,176 = 140,176/x
  3. Step 3: Cross multiply
    96,400x = 140,176 × 140,176
  4. Step 4: Simplify right side
    96,400x = 19,649,310,976
  5. Step 5: Solve for x
    x = 19,649,310,976/96,400
  6. Step 6: Final answer
    x = 203,831.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.