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Finding the Third Proportional to 84,313.41 and 126,215.72

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Solution

The third proportional to 84,313.41 and 126,215.72 is: 188,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,313.41 : 126,215.72 = 126,215.72 : x
  2. Step 2: Convert to fraction form
    84,313.41/126,215.72 = 126,215.72/x
  3. Step 3: Cross multiply
    84,313.41x = 126,215.72 × 126,215.72
  4. Step 4: Simplify right side
    84,313.41x = 15,930,407,659.58
  5. Step 5: Solve for x
    x = 15,930,407,659.58/84,313.41
  6. Step 6: Final answer
    x = 188,942.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.