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Finding the Third Proportional to 41,144 and 89,722

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Solution

The third proportional to 41,144 and 89,722 is: 195,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,144 : 89,722 = 89,722 : x
  2. Step 2: Convert to fraction form
    41,144/89,722 = 89,722/x
  3. Step 3: Cross multiply
    41,144x = 89,722 × 89,722
  4. Step 4: Simplify right side
    41,144x = 8,050,037,284
  5. Step 5: Solve for x
    x = 8,050,037,284/41,144
  6. Step 6: Final answer
    x = 195,655.19

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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.