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Finding the Third Proportional to 90,519 and 193,057

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Solution

The third proportional to 90,519 and 193,057 is: 411,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,519 : 193,057 = 193,057 : x
  2. Step 2: Convert to fraction form
    90,519/193,057 = 193,057/x
  3. Step 3: Cross multiply
    90,519x = 193,057 × 193,057
  4. Step 4: Simplify right side
    90,519x = 37,271,005,249
  5. Step 5: Solve for x
    x = 37,271,005,249/90,519
  6. Step 6: Final answer
    x = 411,747.87

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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.