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Finding the Third Proportional to 75,374 and 165,544

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Solution

The third proportional to 75,374 and 165,544 is: 363,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,374 : 165,544 = 165,544 : x
  2. Step 2: Convert to fraction form
    75,374/165,544 = 165,544/x
  3. Step 3: Cross multiply
    75,374x = 165,544 × 165,544
  4. Step 4: Simplify right side
    75,374x = 27,404,815,936
  5. Step 5: Solve for x
    x = 27,404,815,936/75,374
  6. Step 6: Final answer
    x = 363,584.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.