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Finding the Third Proportional to 62,461 and 131,449

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Solution

The third proportional to 62,461 and 131,449 is: 276,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,461 : 131,449 = 131,449 : x
  2. Step 2: Convert to fraction form
    62,461/131,449 = 131,449/x
  3. Step 3: Cross multiply
    62,461x = 131,449 × 131,449
  4. Step 4: Simplify right side
    62,461x = 17,278,839,601
  5. Step 5: Solve for x
    x = 17,278,839,601/62,461
  6. Step 6: Final answer
    x = 276,634.05

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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.