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Finding the Third Proportional to 90,469 and 183,494

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Solution

The third proportional to 90,469 and 183,494 is: 372,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,469 : 183,494 = 183,494 : x
  2. Step 2: Convert to fraction form
    90,469/183,494 = 183,494/x
  3. Step 3: Cross multiply
    90,469x = 183,494 × 183,494
  4. Step 4: Simplify right side
    90,469x = 33,670,048,036
  5. Step 5: Solve for x
    x = 33,670,048,036/90,469
  6. Step 6: Final answer
    x = 372,172.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.