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Finding the Third Proportional to 50,704 and 104,640

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Solution

The third proportional to 50,704 and 104,640 is: 215,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,704 : 104,640 = 104,640 : x
  2. Step 2: Convert to fraction form
    50,704/104,640 = 104,640/x
  3. Step 3: Cross multiply
    50,704x = 104,640 × 104,640
  4. Step 4: Simplify right side
    50,704x = 10,949,529,600
  5. Step 5: Solve for x
    x = 10,949,529,600/50,704
  6. Step 6: Final answer
    x = 215,950.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.