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Finding the Third Proportional to 41,985 and 91,674

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Solution

The third proportional to 41,985 and 91,674 is: 200,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,985 : 91,674 = 91,674 : x
  2. Step 2: Convert to fraction form
    41,985/91,674 = 91,674/x
  3. Step 3: Cross multiply
    41,985x = 91,674 × 91,674
  4. Step 4: Simplify right side
    41,985x = 8,404,122,276
  5. Step 5: Solve for x
    x = 8,404,122,276/41,985
  6. Step 6: Final answer
    x = 200,169.64

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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.