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Finding the Third Proportional to 54,834 and 82,028

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Solution

The third proportional to 54,834 and 82,028 is: 122,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,834 : 82,028 = 82,028 : x
  2. Step 2: Convert to fraction form
    54,834/82,028 = 82,028/x
  3. Step 3: Cross multiply
    54,834x = 82,028 × 82,028
  4. Step 4: Simplify right side
    54,834x = 6,728,592,784
  5. Step 5: Solve for x
    x = 6,728,592,784/54,834
  6. Step 6: Final answer
    x = 122,708.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.