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Finding the Third Proportional to 41,437 and 90,938.75

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Solution

The third proportional to 41,437 and 90,938.75 is: 199,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,437 : 90,938.75 = 90,938.75 : x
  2. Step 2: Convert to fraction form
    41,437/90,938.75 = 90,938.75/x
  3. Step 3: Cross multiply
    41,437x = 90,938.75 × 90,938.75
  4. Step 4: Simplify right side
    41,437x = 8,269,856,251.56
  5. Step 5: Solve for x
    x = 8,269,856,251.56/41,437
  6. Step 6: Final answer
    x = 199,576.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.