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Finding the Third Proportional to 80,556.75 and 174,952.13

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Solution

The third proportional to 80,556.75 and 174,952.13 is: 379,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,556.75 : 174,952.13 = 174,952.13 : x
  2. Step 2: Convert to fraction form
    80,556.75/174,952.13 = 174,952.13/x
  3. Step 3: Cross multiply
    80,556.75x = 174,952.13 × 174,952.13
  4. Step 4: Simplify right side
    80,556.75x = 30,608,246,042.02
  5. Step 5: Solve for x
    x = 30,608,246,042.02/80,556.75
  6. Step 6: Final answer
    x = 379,958.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.