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Finding the Third Proportional to 41,722 and 90,522

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Solution

The third proportional to 41,722 and 90,522 is: 196,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,722 : 90,522 = 90,522 : x
  2. Step 2: Convert to fraction form
    41,722/90,522 = 90,522/x
  3. Step 3: Cross multiply
    41,722x = 90,522 × 90,522
  4. Step 4: Simplify right side
    41,722x = 8,194,232,484
  5. Step 5: Solve for x
    x = 8,194,232,484/41,722
  6. Step 6: Final answer
    x = 196,400.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.