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Finding the Third Proportional to 40,765 and 89,550

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Solution

The third proportional to 40,765 and 89,550 is: 196,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,765 : 89,550 = 89,550 : x
  2. Step 2: Convert to fraction form
    40,765/89,550 = 89,550/x
  3. Step 3: Cross multiply
    40,765x = 89,550 × 89,550
  4. Step 4: Simplify right side
    40,765x = 8,019,202,500
  5. Step 5: Solve for x
    x = 8,019,202,500/40,765
  6. Step 6: Final answer
    x = 196,717.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.