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Finding the Third Proportional to 81,227 and 188,028

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Solution

The third proportional to 81,227 and 188,028 is: 435,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,227 : 188,028 = 188,028 : x
  2. Step 2: Convert to fraction form
    81,227/188,028 = 188,028/x
  3. Step 3: Cross multiply
    81,227x = 188,028 × 188,028
  4. Step 4: Simplify right side
    81,227x = 35,354,528,784
  5. Step 5: Solve for x
    x = 35,354,528,784/81,227
  6. Step 6: Final answer
    x = 435,255.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.