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Finding the Third Proportional to 137,640.75 and 193,831.88

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Solution

The third proportional to 137,640.75 and 193,831.88 is: 272,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640.75 : 193,831.88 = 193,831.88 : x
  2. Step 2: Convert to fraction form
    137,640.75/193,831.88 = 193,831.88/x
  3. Step 3: Cross multiply
    137,640.75x = 193,831.88 × 193,831.88
  4. Step 4: Simplify right side
    137,640.75x = 37,570,795,766.02
  5. Step 5: Solve for x
    x = 37,570,795,766.02/137,640.75
  6. Step 6: Final answer
    x = 272,962.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.