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Finding the Third Proportional to 43,420 and 91,916

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Solution

The third proportional to 43,420 and 91,916 is: 194,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,420 : 91,916 = 91,916 : x
  2. Step 2: Convert to fraction form
    43,420/91,916 = 91,916/x
  3. Step 3: Cross multiply
    43,420x = 91,916 × 91,916
  4. Step 4: Simplify right side
    43,420x = 8,448,551,056
  5. Step 5: Solve for x
    x = 8,448,551,056/43,420
  6. Step 6: Final answer
    x = 194,577.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.