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Finding the Third Proportional to 34,041 and 74,094

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Solution

The third proportional to 34,041 and 74,094 is: 161,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041 : 74,094 = 74,094 : x
  2. Step 2: Convert to fraction form
    34,041/74,094 = 74,094/x
  3. Step 3: Cross multiply
    34,041x = 74,094 × 74,094
  4. Step 4: Simplify right side
    34,041x = 5,489,920,836
  5. Step 5: Solve for x
    x = 5,489,920,836/34,041
  6. Step 6: Final answer
    x = 161,273.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.