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Finding the Third Proportional to 41,331 and 88,494

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Solution

The third proportional to 41,331 and 88,494 is: 189,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,331 : 88,494 = 88,494 : x
  2. Step 2: Convert to fraction form
    41,331/88,494 = 88,494/x
  3. Step 3: Cross multiply
    41,331x = 88,494 × 88,494
  4. Step 4: Simplify right side
    41,331x = 7,831,188,036
  5. Step 5: Solve for x
    x = 7,831,188,036/41,331
  6. Step 6: Final answer
    x = 189,474.92

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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.