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Finding the Third Proportional to 52,883 and 80,999

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Solution

The third proportional to 52,883 and 80,999 is: 124,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,883 : 80,999 = 80,999 : x
  2. Step 2: Convert to fraction form
    52,883/80,999 = 80,999/x
  3. Step 3: Cross multiply
    52,883x = 80,999 × 80,999
  4. Step 4: Simplify right side
    52,883x = 6,560,838,001
  5. Step 5: Solve for x
    x = 6,560,838,001/52,883
  6. Step 6: Final answer
    x = 124,063.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.