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Finding the Third Proportional to 43,011 and 104,607

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Solution

The third proportional to 43,011 and 104,607 is: 254,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,011 : 104,607 = 104,607 : x
  2. Step 2: Convert to fraction form
    43,011/104,607 = 104,607/x
  3. Step 3: Cross multiply
    43,011x = 104,607 × 104,607
  4. Step 4: Simplify right side
    43,011x = 10,942,624,449
  5. Step 5: Solve for x
    x = 10,942,624,449/43,011
  6. Step 6: Final answer
    x = 254,414.56

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.