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Finding the Third Proportional to 94,739 and 205,414

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Solution

The third proportional to 94,739 and 205,414 is: 445,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,739 : 205,414 = 205,414 : x
  2. Step 2: Convert to fraction form
    94,739/205,414 = 205,414/x
  3. Step 3: Cross multiply
    94,739x = 205,414 × 205,414
  4. Step 4: Simplify right side
    94,739x = 42,194,911,396
  5. Step 5: Solve for x
    x = 42,194,911,396/94,739
  6. Step 6: Final answer
    x = 445,380.59

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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.