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Finding the Third Proportional to 43,172 and 94,344

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Solution

The third proportional to 43,172 and 94,344 is: 206,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,172 : 94,344 = 94,344 : x
  2. Step 2: Convert to fraction form
    43,172/94,344 = 94,344/x
  3. Step 3: Cross multiply
    43,172x = 94,344 × 94,344
  4. Step 4: Simplify right side
    43,172x = 8,900,790,336
  5. Step 5: Solve for x
    x = 8,900,790,336/43,172
  6. Step 6: Final answer
    x = 206,170.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.