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Finding the Third Proportional to 90,453 and 192,926

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Solution

The third proportional to 90,453 and 192,926 is: 411,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,453 : 192,926 = 192,926 : x
  2. Step 2: Convert to fraction form
    90,453/192,926 = 192,926/x
  3. Step 3: Cross multiply
    90,453x = 192,926 × 192,926
  4. Step 4: Simplify right side
    90,453x = 37,220,441,476
  5. Step 5: Solve for x
    x = 37,220,441,476/90,453
  6. Step 6: Final answer
    x = 411,489.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.