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Finding the Third Proportional to 41,765 and 91,068

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Solution

The third proportional to 41,765 and 91,068 is: 198,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,765 : 91,068 = 91,068 : x
  2. Step 2: Convert to fraction form
    41,765/91,068 = 91,068/x
  3. Step 3: Cross multiply
    41,765x = 91,068 × 91,068
  4. Step 4: Simplify right side
    41,765x = 8,293,380,624
  5. Step 5: Solve for x
    x = 8,293,380,624/41,765
  6. Step 6: Final answer
    x = 198,572.50

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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.