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Finding the Third Proportional to 81,183 and 127,384

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Solution

The third proportional to 81,183 and 127,384 is: 199,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,183 : 127,384 = 127,384 : x
  2. Step 2: Convert to fraction form
    81,183/127,384 = 127,384/x
  3. Step 3: Cross multiply
    81,183x = 127,384 × 127,384
  4. Step 4: Simplify right side
    81,183x = 16,226,683,456
  5. Step 5: Solve for x
    x = 16,226,683,456/81,183
  6. Step 6: Final answer
    x = 199,877.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.