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Finding the Third Proportional to 54,948 and 82,224

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Solution

The third proportional to 54,948 and 82,224 is: 123,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948 : 82,224 = 82,224 : x
  2. Step 2: Convert to fraction form
    54,948/82,224 = 82,224/x
  3. Step 3: Cross multiply
    54,948x = 82,224 × 82,224
  4. Step 4: Simplify right side
    54,948x = 6,760,786,176
  5. Step 5: Solve for x
    x = 6,760,786,176/54,948
  6. Step 6: Final answer
    x = 123,039.71

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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.