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Finding the Third Proportional to 49,590 and 104,031

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Solution

The third proportional to 49,590 and 104,031 is: 218,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,590 : 104,031 = 104,031 : x
  2. Step 2: Convert to fraction form
    49,590/104,031 = 104,031/x
  3. Step 3: Cross multiply
    49,590x = 104,031 × 104,031
  4. Step 4: Simplify right side
    49,590x = 10,822,448,961
  5. Step 5: Solve for x
    x = 10,822,448,961/49,590
  6. Step 6: Final answer
    x = 218,238.54

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Why These Related Problems?

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