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Finding the Third Proportional to 43,057 and 94,634

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Solution

The third proportional to 43,057 and 94,634 is: 207,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,057 : 94,634 = 94,634 : x
  2. Step 2: Convert to fraction form
    43,057/94,634 = 94,634/x
  3. Step 3: Cross multiply
    43,057x = 94,634 × 94,634
  4. Step 4: Simplify right side
    43,057x = 8,955,593,956
  5. Step 5: Solve for x
    x = 8,955,593,956/43,057
  6. Step 6: Final answer
    x = 207,993.91

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Why These Related Problems?

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