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Finding the Third Proportional to 43,414 and 94,684

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Solution

The third proportional to 43,414 and 94,684 is: 206,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,414 : 94,684 = 94,684 : x
  2. Step 2: Convert to fraction form
    43,414/94,684 = 94,684/x
  3. Step 3: Cross multiply
    43,414x = 94,684 × 94,684
  4. Step 4: Simplify right side
    43,414x = 8,965,059,856
  5. Step 5: Solve for x
    x = 8,965,059,856/43,414
  6. Step 6: Final answer
    x = 206,501.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.