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Finding the Third Proportional to 49,755 and 104,121

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Solution

The third proportional to 49,755 and 104,121 is: 217,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,755 : 104,121 = 104,121 : x
  2. Step 2: Convert to fraction form
    49,755/104,121 = 104,121/x
  3. Step 3: Cross multiply
    49,755x = 104,121 × 104,121
  4. Step 4: Simplify right side
    49,755x = 10,841,182,641
  5. Step 5: Solve for x
    x = 10,841,182,641/49,755
  6. Step 6: Final answer
    x = 217,891.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.