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Finding the Third Proportional to 32,406 and 75,068

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Solution

The third proportional to 32,406 and 75,068 is: 173,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406 : 75,068 = 75,068 : x
  2. Step 2: Convert to fraction form
    32,406/75,068 = 75,068/x
  3. Step 3: Cross multiply
    32,406x = 75,068 × 75,068
  4. Step 4: Simplify right side
    32,406x = 5,635,204,624
  5. Step 5: Solve for x
    x = 5,635,204,624/32,406
  6. Step 6: Final answer
    x = 173,893.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.