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Finding the Third Proportional to 75,446 and 165,958

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Solution

The third proportional to 75,446 and 165,958 is: 365,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,446 : 165,958 = 165,958 : x
  2. Step 2: Convert to fraction form
    75,446/165,958 = 165,958/x
  3. Step 3: Cross multiply
    75,446x = 165,958 × 165,958
  4. Step 4: Simplify right side
    75,446x = 27,542,057,764
  5. Step 5: Solve for x
    x = 27,542,057,764/75,446
  6. Step 6: Final answer
    x = 365,056.57

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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.