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Finding the Third Proportional to 80,201.25 and 174,062.25

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Solution

The third proportional to 80,201.25 and 174,062.25 is: 377,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,201.25 : 174,062.25 = 174,062.25 : x
  2. Step 2: Convert to fraction form
    80,201.25/174,062.25 = 174,062.25/x
  3. Step 3: Cross multiply
    80,201.25x = 174,062.25 × 174,062.25
  4. Step 4: Simplify right side
    80,201.25x = 30,297,666,875.06
  5. Step 5: Solve for x
    x = 30,297,666,875.06/80,201.25
  6. Step 6: Final answer
    x = 377,770.51

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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.