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Finding the Third Proportional to 41,646 and 89,244

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Solution

The third proportional to 41,646 and 89,244 is: 191,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646 : 89,244 = 89,244 : x
  2. Step 2: Convert to fraction form
    41,646/89,244 = 89,244/x
  3. Step 3: Cross multiply
    41,646x = 89,244 × 89,244
  4. Step 4: Simplify right side
    41,646x = 7,964,491,536
  5. Step 5: Solve for x
    x = 7,964,491,536/41,646
  6. Step 6: Final answer
    x = 191,242.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.