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Finding the Third Proportional to 45,124 and 67,504

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Solution

The third proportional to 45,124 and 67,504 is: 100,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,124 : 67,504 = 67,504 : x
  2. Step 2: Convert to fraction form
    45,124/67,504 = 67,504/x
  3. Step 3: Cross multiply
    45,124x = 67,504 × 67,504
  4. Step 4: Simplify right side
    45,124x = 4,556,790,016
  5. Step 5: Solve for x
    x = 4,556,790,016/45,124
  6. Step 6: Final answer
    x = 100,983.73

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