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Finding the Third Proportional to 75,180 and 165,912

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Solution

The third proportional to 75,180 and 165,912 is: 366,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,180 : 165,912 = 165,912 : x
  2. Step 2: Convert to fraction form
    75,180/165,912 = 165,912/x
  3. Step 3: Cross multiply
    75,180x = 165,912 × 165,912
  4. Step 4: Simplify right side
    75,180x = 27,526,791,744
  5. Step 5: Solve for x
    x = 27,526,791,744/75,180
  6. Step 6: Final answer
    x = 366,145.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.