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Finding the Third Proportional to 110,786.91 and 171,871.03

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Solution

The third proportional to 110,786.91 and 171,871.03 is: 266,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,786.91 : 171,871.03 = 171,871.03 : x
  2. Step 2: Convert to fraction form
    110,786.91/171,871.03 = 171,871.03/x
  3. Step 3: Cross multiply
    110,786.91x = 171,871.03 × 171,871.03
  4. Step 4: Simplify right side
    110,786.91x = 29,539,651,382.94
  5. Step 5: Solve for x
    x = 29,539,651,382.94/110,786.91
  6. Step 6: Final answer
    x = 266,634.86

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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.