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Finding the Third Proportional to 94,753 and 199,334

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Solution

The third proportional to 94,753 and 199,334 is: 419,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,753 : 199,334 = 199,334 : x
  2. Step 2: Convert to fraction form
    94,753/199,334 = 199,334/x
  3. Step 3: Cross multiply
    94,753x = 199,334 × 199,334
  4. Step 4: Simplify right side
    94,753x = 39,734,043,556
  5. Step 5: Solve for x
    x = 39,734,043,556/94,753
  6. Step 6: Final answer
    x = 419,343.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.