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Finding the Third Proportional to 94,024 and 195,824

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Solution

The third proportional to 94,024 and 195,824 is: 407,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,024 : 195,824 = 195,824 : x
  2. Step 2: Convert to fraction form
    94,024/195,824 = 195,824/x
  3. Step 3: Cross multiply
    94,024x = 195,824 × 195,824
  4. Step 4: Simplify right side
    94,024x = 38,347,038,976
  5. Step 5: Solve for x
    x = 38,347,038,976/94,024
  6. Step 6: Final answer
    x = 407,843.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.