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Finding the Third Proportional to 45,041 and 104,273

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Solution

The third proportional to 45,041 and 104,273 is: 241,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,041 : 104,273 = 104,273 : x
  2. Step 2: Convert to fraction form
    45,041/104,273 = 104,273/x
  3. Step 3: Cross multiply
    45,041x = 104,273 × 104,273
  4. Step 4: Simplify right side
    45,041x = 10,872,858,529
  5. Step 5: Solve for x
    x = 10,872,858,529/45,041
  6. Step 6: Final answer
    x = 241,399.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.