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Finding the Third Proportional to 41,722 and 89,380

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Solution

The third proportional to 41,722 and 89,380 is: 191,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,722 : 89,380 = 89,380 : x
  2. Step 2: Convert to fraction form
    41,722/89,380 = 89,380/x
  3. Step 3: Cross multiply
    41,722x = 89,380 × 89,380
  4. Step 4: Simplify right side
    41,722x = 7,988,784,400
  5. Step 5: Solve for x
    x = 7,988,784,400/41,722
  6. Step 6: Final answer
    x = 191,476.54

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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.