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Finding the Third Proportional to 41,142 and 89,652

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Solution

The third proportional to 41,142 and 89,652 is: 195,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,142 : 89,652 = 89,652 : x
  2. Step 2: Convert to fraction form
    41,142/89,652 = 89,652/x
  3. Step 3: Cross multiply
    41,142x = 89,652 × 89,652
  4. Step 4: Simplify right side
    41,142x = 8,037,481,104
  5. Step 5: Solve for x
    x = 8,037,481,104/41,142
  6. Step 6: Final answer
    x = 195,359.51

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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.