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Finding the Third Proportional to 75,452 and 162,761

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Solution

The third proportional to 75,452 and 162,761 is: 351,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,452 : 162,761 = 162,761 : x
  2. Step 2: Convert to fraction form
    75,452/162,761 = 162,761/x
  3. Step 3: Cross multiply
    75,452x = 162,761 × 162,761
  4. Step 4: Simplify right side
    75,452x = 26,491,143,121
  5. Step 5: Solve for x
    x = 26,491,143,121/75,452
  6. Step 6: Final answer
    x = 351,099.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.