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Finding the Third Proportional to 49,455 and 116,694

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Solution

The third proportional to 49,455 and 116,694 is: 275,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,455 : 116,694 = 116,694 : x
  2. Step 2: Convert to fraction form
    49,455/116,694 = 116,694/x
  3. Step 3: Cross multiply
    49,455x = 116,694 × 116,694
  4. Step 4: Simplify right side
    49,455x = 13,617,489,636
  5. Step 5: Solve for x
    x = 13,617,489,636/49,455
  6. Step 6: Final answer
    x = 275,351.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.