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Finding the Third Proportional to 40,767 and 89,554

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Solution

The third proportional to 40,767 and 89,554 is: 196,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,767 : 89,554 = 89,554 : x
  2. Step 2: Convert to fraction form
    40,767/89,554 = 89,554/x
  3. Step 3: Cross multiply
    40,767x = 89,554 × 89,554
  4. Step 4: Simplify right side
    40,767x = 8,019,918,916
  5. Step 5: Solve for x
    x = 8,019,918,916/40,767
  6. Step 6: Final answer
    x = 196,725.76

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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.