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Finding the Third Proportional to 54,600 and 82,284.75

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Solution

The third proportional to 54,600 and 82,284.75 is: 124,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,600 : 82,284.75 = 82,284.75 : x
  2. Step 2: Convert to fraction form
    54,600/82,284.75 = 82,284.75/x
  3. Step 3: Cross multiply
    54,600x = 82,284.75 × 82,284.75
  4. Step 4: Simplify right side
    54,600x = 6,770,780,082.56
  5. Step 5: Solve for x
    x = 6,770,780,082.56/54,600
  6. Step 6: Final answer
    x = 124,006.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.