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Finding the Third Proportional to 51,833 and 82,517

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Solution

The third proportional to 51,833 and 82,517 is: 131,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,833 : 82,517 = 82,517 : x
  2. Step 2: Convert to fraction form
    51,833/82,517 = 82,517/x
  3. Step 3: Cross multiply
    51,833x = 82,517 × 82,517
  4. Step 4: Simplify right side
    51,833x = 6,809,055,289
  5. Step 5: Solve for x
    x = 6,809,055,289/51,833
  6. Step 6: Final answer
    x = 131,365.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.