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Finding the Third Proportional to 65,574.75 and 140,452.69

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Solution

The third proportional to 65,574.75 and 140,452.69 is: 300,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,574.75 : 140,452.69 = 140,452.69 : x
  2. Step 2: Convert to fraction form
    65,574.75/140,452.69 = 140,452.69/x
  3. Step 3: Cross multiply
    65,574.75x = 140,452.69 × 140,452.69
  4. Step 4: Simplify right side
    65,574.75x = 19,726,957,425.97
  5. Step 5: Solve for x
    x = 19,726,957,425.97/65,574.75
  6. Step 6: Final answer
    x = 300,831.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.