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Finding the Third Proportional to 90,474 and 192,971

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Solution

The third proportional to 90,474 and 192,971 is: 411,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,474 : 192,971 = 192,971 : x
  2. Step 2: Convert to fraction form
    90,474/192,971 = 192,971/x
  3. Step 3: Cross multiply
    90,474x = 192,971 × 192,971
  4. Step 4: Simplify right side
    90,474x = 37,237,806,841
  5. Step 5: Solve for x
    x = 37,237,806,841/90,474
  6. Step 6: Final answer
    x = 411,585.72

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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.