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Finding the Third Proportional to 75,147.75 and 174,747.38

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Solution

The third proportional to 75,147.75 and 174,747.38 is: 406,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,147.75 : 174,747.38 = 174,747.38 : x
  2. Step 2: Convert to fraction form
    75,147.75/174,747.38 = 174,747.38/x
  3. Step 3: Cross multiply
    75,147.75x = 174,747.38 × 174,747.38
  4. Step 4: Simplify right side
    75,147.75x = 30,536,645,069.39
  5. Step 5: Solve for x
    x = 30,536,645,069.39/75,147.75
  6. Step 6: Final answer
    x = 406,354.75

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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.