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Finding the Third Proportional to 94,744 and 205,423

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Solution

The third proportional to 94,744 and 205,423 is: 445,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,744 : 205,423 = 205,423 : x
  2. Step 2: Convert to fraction form
    94,744/205,423 = 205,423/x
  3. Step 3: Cross multiply
    94,744x = 205,423 × 205,423
  4. Step 4: Simplify right side
    94,744x = 42,198,608,929
  5. Step 5: Solve for x
    x = 42,198,608,929/94,744
  6. Step 6: Final answer
    x = 445,396.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.