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Finding the Third Proportional to 103,161 and 226,005

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Solution

The third proportional to 103,161 and 226,005 is: 495,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,161 : 226,005 = 226,005 : x
  2. Step 2: Convert to fraction form
    103,161/226,005 = 226,005/x
  3. Step 3: Cross multiply
    103,161x = 226,005 × 226,005
  4. Step 4: Simplify right side
    103,161x = 51,078,260,025
  5. Step 5: Solve for x
    x = 51,078,260,025/103,161
  6. Step 6: Final answer
    x = 495,131.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.