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Finding the Third Proportional to 49,334 and 104,822

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Solution

The third proportional to 49,334 and 104,822 is: 222,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,334 : 104,822 = 104,822 : x
  2. Step 2: Convert to fraction form
    49,334/104,822 = 104,822/x
  3. Step 3: Cross multiply
    49,334x = 104,822 × 104,822
  4. Step 4: Simplify right side
    49,334x = 10,987,651,684
  5. Step 5: Solve for x
    x = 10,987,651,684/49,334
  6. Step 6: Final answer
    x = 222,719.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.