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Finding the Third Proportional to 54,975 and 82,318

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Solution

The third proportional to 54,975 and 82,318 is: 123,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,975 : 82,318 = 82,318 : x
  2. Step 2: Convert to fraction form
    54,975/82,318 = 82,318/x
  3. Step 3: Cross multiply
    54,975x = 82,318 × 82,318
  4. Step 4: Simplify right side
    54,975x = 6,776,253,124
  5. Step 5: Solve for x
    x = 6,776,253,124/54,975
  6. Step 6: Final answer
    x = 123,260.63

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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.