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Finding the Third Proportional to 41,392 and 92,152

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Solution

The third proportional to 41,392 and 92,152 is: 205,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,392 : 92,152 = 92,152 : x
  2. Step 2: Convert to fraction form
    41,392/92,152 = 92,152/x
  3. Step 3: Cross multiply
    41,392x = 92,152 × 92,152
  4. Step 4: Simplify right side
    41,392x = 8,491,991,104
  5. Step 5: Solve for x
    x = 8,491,991,104/41,392
  6. Step 6: Final answer
    x = 205,160.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.