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Finding the Third Proportional to 41,909 and 85,033

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Solution

The third proportional to 41,909 and 85,033 is: 172,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,909 : 85,033 = 85,033 : x
  2. Step 2: Convert to fraction form
    41,909/85,033 = 85,033/x
  3. Step 3: Cross multiply
    41,909x = 85,033 × 85,033
  4. Step 4: Simplify right side
    41,909x = 7,230,611,089
  5. Step 5: Solve for x
    x = 7,230,611,089/41,909
  6. Step 6: Final answer
    x = 172,531.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.