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Finding the Third Proportional to 90,512 and 193,045

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Solution

The third proportional to 90,512 and 193,045 is: 411,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,512 : 193,045 = 193,045 : x
  2. Step 2: Convert to fraction form
    90,512/193,045 = 193,045/x
  3. Step 3: Cross multiply
    90,512x = 193,045 × 193,045
  4. Step 4: Simplify right side
    90,512x = 37,266,372,025
  5. Step 5: Solve for x
    x = 37,266,372,025/90,512
  6. Step 6: Final answer
    x = 411,728.52

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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.