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Finding the Third Proportional to 126,955.69 and 197,213.91

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Solution

The third proportional to 126,955.69 and 197,213.91 is: 306,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,955.69 : 197,213.91 = 197,213.91 : x
  2. Step 2: Convert to fraction form
    126,955.69/197,213.91 = 197,213.91/x
  3. Step 3: Cross multiply
    126,955.69x = 197,213.91 × 197,213.91
  4. Step 4: Simplify right side
    126,955.69x = 38,893,324,818.38
  5. Step 5: Solve for x
    x = 38,893,324,818.38/126,955.69
  6. Step 6: Final answer
    x = 306,353.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.