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Finding the Third Proportional to 43,006 and 94,491

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Solution

The third proportional to 43,006 and 94,491 is: 207,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,006 : 94,491 = 94,491 : x
  2. Step 2: Convert to fraction form
    43,006/94,491 = 94,491/x
  3. Step 3: Cross multiply
    43,006x = 94,491 × 94,491
  4. Step 4: Simplify right side
    43,006x = 8,928,549,081
  5. Step 5: Solve for x
    x = 8,928,549,081/43,006
  6. Step 6: Final answer
    x = 207,611.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.