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Finding the Third Proportional to 45,212 and 94,554

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Solution

The third proportional to 45,212 and 94,554 is: 197,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,212 : 94,554 = 94,554 : x
  2. Step 2: Convert to fraction form
    45,212/94,554 = 94,554/x
  3. Step 3: Cross multiply
    45,212x = 94,554 × 94,554
  4. Step 4: Simplify right side
    45,212x = 8,940,458,916
  5. Step 5: Solve for x
    x = 8,940,458,916/45,212
  6. Step 6: Final answer
    x = 197,745.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.