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Finding the Third Proportional to 90,504 and 193,029

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Solution

The third proportional to 90,504 and 193,029 is: 411,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,504 : 193,029 = 193,029 : x
  2. Step 2: Convert to fraction form
    90,504/193,029 = 193,029/x
  3. Step 3: Cross multiply
    90,504x = 193,029 × 193,029
  4. Step 4: Simplify right side
    90,504x = 37,260,194,841
  5. Step 5: Solve for x
    x = 37,260,194,841/90,504
  6. Step 6: Final answer
    x = 411,696.66

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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.