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Finding the Third Proportional to 49,605 and 104,061

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Solution

The third proportional to 49,605 and 104,061 is: 218,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,605 : 104,061 = 104,061 : x
  2. Step 2: Convert to fraction form
    49,605/104,061 = 104,061/x
  3. Step 3: Cross multiply
    49,605x = 104,061 × 104,061
  4. Step 4: Simplify right side
    49,605x = 10,828,691,721
  5. Step 5: Solve for x
    x = 10,828,691,721/49,605
  6. Step 6: Final answer
    x = 218,298.39

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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.