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Finding the Third Proportional to 126,717.86 and 171,047.32

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Solution

The third proportional to 126,717.86 and 171,047.32 is: 230,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,717.86 : 171,047.32 = 171,047.32 : x
  2. Step 2: Convert to fraction form
    126,717.86/171,047.32 = 171,047.32/x
  3. Step 3: Cross multiply
    126,717.86x = 171,047.32 × 171,047.32
  4. Step 4: Simplify right side
    126,717.86x = 29,257,185,786.09
  5. Step 5: Solve for x
    x = 29,257,185,786.09/126,717.86
  6. Step 6: Final answer
    x = 230,884.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.