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Finding the Third Proportional to 82,883 and 127,186.75

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Solution

The third proportional to 82,883 and 127,186.75 is: 195,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,883 : 127,186.75 = 127,186.75 : x
  2. Step 2: Convert to fraction form
    82,883/127,186.75 = 127,186.75/x
  3. Step 3: Cross multiply
    82,883x = 127,186.75 × 127,186.75
  4. Step 4: Simplify right side
    82,883x = 16,176,469,375.56
  5. Step 5: Solve for x
    x = 16,176,469,375.56/82,883
  6. Step 6: Final answer
    x = 195,172.34

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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.