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Finding the Third Proportional to 75,452 and 159,166

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Solution

The third proportional to 75,452 and 159,166 is: 335,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,452 : 159,166 = 159,166 : x
  2. Step 2: Convert to fraction form
    75,452/159,166 = 159,166/x
  3. Step 3: Cross multiply
    75,452x = 159,166 × 159,166
  4. Step 4: Simplify right side
    75,452x = 25,333,815,556
  5. Step 5: Solve for x
    x = 25,333,815,556/75,452
  6. Step 6: Final answer
    x = 335,760.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.