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Finding the Third Proportional to 40,996 and 83,912

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Solution

The third proportional to 40,996 and 83,912 is: 171,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,996 : 83,912 = 83,912 : x
  2. Step 2: Convert to fraction form
    40,996/83,912 = 83,912/x
  3. Step 3: Cross multiply
    40,996x = 83,912 × 83,912
  4. Step 4: Simplify right side
    40,996x = 7,041,223,744
  5. Step 5: Solve for x
    x = 7,041,223,744/40,996
  6. Step 6: Final answer
    x = 171,753.92

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.