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Finding the Third Proportional to 43,741 and 91,640

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Solution

The third proportional to 43,741 and 91,640 is: 191,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,741 : 91,640 = 91,640 : x
  2. Step 2: Convert to fraction form
    43,741/91,640 = 91,640/x
  3. Step 3: Cross multiply
    43,741x = 91,640 × 91,640
  4. Step 4: Simplify right side
    43,741x = 8,397,889,600
  5. Step 5: Solve for x
    x = 8,397,889,600/43,741
  6. Step 6: Final answer
    x = 191,991.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.