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Finding the Third Proportional to 137,614.41 and 193,792.97

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Solution

The third proportional to 137,614.41 and 193,792.97 is: 272,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,614.41 : 193,792.97 = 193,792.97 : x
  2. Step 2: Convert to fraction form
    137,614.41/193,792.97 = 193,792.97/x
  3. Step 3: Cross multiply
    137,614.41x = 193,792.97 × 193,792.97
  4. Step 4: Simplify right side
    137,614.41x = 37,555,717,007.95
  5. Step 5: Solve for x
    x = 37,555,717,007.95/137,614.41
  6. Step 6: Final answer
    x = 272,905.41

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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.