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Finding the Third Proportional to 41,188 and 89,988

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Solution

The third proportional to 41,188 and 89,988 is: 196,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,188 : 89,988 = 89,988 : x
  2. Step 2: Convert to fraction form
    41,188/89,988 = 89,988/x
  3. Step 3: Cross multiply
    41,188x = 89,988 × 89,988
  4. Step 4: Simplify right side
    41,188x = 8,097,840,144
  5. Step 5: Solve for x
    x = 8,097,840,144/41,188
  6. Step 6: Final answer
    x = 196,606.78

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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.