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Finding the Third Proportional to 49,660 and 104,426

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Solution

The third proportional to 49,660 and 104,426 is: 219,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,660 : 104,426 = 104,426 : x
  2. Step 2: Convert to fraction form
    49,660/104,426 = 104,426/x
  3. Step 3: Cross multiply
    49,660x = 104,426 × 104,426
  4. Step 4: Simplify right side
    49,660x = 10,904,789,476
  5. Step 5: Solve for x
    x = 10,904,789,476/49,660
  6. Step 6: Final answer
    x = 219,588.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.