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Finding the Third Proportional to 59,797 and 126,883

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Solution

The third proportional to 59,797 and 126,883 is: 269,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,797 : 126,883 = 126,883 : x
  2. Step 2: Convert to fraction form
    59,797/126,883 = 126,883/x
  3. Step 3: Cross multiply
    59,797x = 126,883 × 126,883
  4. Step 4: Simplify right side
    59,797x = 16,099,295,689
  5. Step 5: Solve for x
    x = 16,099,295,689/59,797
  6. Step 6: Final answer
    x = 269,232.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.