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Finding the Third Proportional to 41,698 and 85,094

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Solution

The third proportional to 41,698 and 85,094 is: 173,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,698 : 85,094 = 85,094 : x
  2. Step 2: Convert to fraction form
    41,698/85,094 = 85,094/x
  3. Step 3: Cross multiply
    41,698x = 85,094 × 85,094
  4. Step 4: Simplify right side
    41,698x = 7,240,988,836
  5. Step 5: Solve for x
    x = 7,240,988,836/41,698
  6. Step 6: Final answer
    x = 173,653.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.