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Finding the Third Proportional to 75,161.25 and 174,781.13

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Solution

The third proportional to 75,161.25 and 174,781.13 is: 406,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,161.25 : 174,781.13 = 174,781.13 : x
  2. Step 2: Convert to fraction form
    75,161.25/174,781.13 = 174,781.13/x
  3. Step 3: Cross multiply
    75,161.25x = 174,781.13 × 174,781.13
  4. Step 4: Simplify right side
    75,161.25x = 30,548,441,656.27
  5. Step 5: Solve for x
    x = 30,548,441,656.27/75,161.25
  6. Step 6: Final answer
    x = 406,438.71

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.