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Finding the Third Proportional to 34,414.59 and 75,608.44

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Solution

The third proportional to 34,414.59 and 75,608.44 is: 166,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.59 : 75,608.44 = 75,608.44 : x
  2. Step 2: Convert to fraction form
    34,414.59/75,608.44 = 75,608.44/x
  3. Step 3: Cross multiply
    34,414.59x = 75,608.44 × 75,608.44
  4. Step 4: Simplify right side
    34,414.59x = 5,716,635,821.19
  5. Step 5: Solve for x
    x = 5,716,635,821.19/34,414.59
  6. Step 6: Final answer
    x = 166,110.80

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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.