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Finding the Third Proportional to 51,057 and 104,697

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Solution

The third proportional to 51,057 and 104,697 is: 214,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,057 : 104,697 = 104,697 : x
  2. Step 2: Convert to fraction form
    51,057/104,697 = 104,697/x
  3. Step 3: Cross multiply
    51,057x = 104,697 × 104,697
  4. Step 4: Simplify right side
    51,057x = 10,961,461,809
  5. Step 5: Solve for x
    x = 10,961,461,809/51,057
  6. Step 6: Final answer
    x = 214,690.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.