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Finding the Third Proportional to 94,542 and 199,410

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Solution

The third proportional to 94,542 and 199,410 is: 420,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,542 : 199,410 = 199,410 : x
  2. Step 2: Convert to fraction form
    94,542/199,410 = 199,410/x
  3. Step 3: Cross multiply
    94,542x = 199,410 × 199,410
  4. Step 4: Simplify right side
    94,542x = 39,764,348,100
  5. Step 5: Solve for x
    x = 39,764,348,100/94,542
  6. Step 6: Final answer
    x = 420,599.82

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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.