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Finding the Third Proportional to 80,723.25 and 110,811.38

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Solution

The third proportional to 80,723.25 and 110,811.38 is: 152,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,723.25 : 110,811.38 = 110,811.38 : x
  2. Step 2: Convert to fraction form
    80,723.25/110,811.38 = 110,811.38/x
  3. Step 3: Cross multiply
    80,723.25x = 110,811.38 × 110,811.38
  4. Step 4: Simplify right side
    80,723.25x = 12,279,160,829.39
  5. Step 5: Solve for x
    x = 12,279,160,829.39/80,723.25
  6. Step 6: Final answer
    x = 152,114.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.