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Finding the Third Proportional to 94,239 and 198,954

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Solution

The third proportional to 94,239 and 198,954 is: 420,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,239 : 198,954 = 198,954 : x
  2. Step 2: Convert to fraction form
    94,239/198,954 = 198,954/x
  3. Step 3: Cross multiply
    94,239x = 198,954 × 198,954
  4. Step 4: Simplify right side
    94,239x = 39,582,694,116
  5. Step 5: Solve for x
    x = 39,582,694,116/94,239
  6. Step 6: Final answer
    x = 420,024.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.