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Finding the Third Proportional to 49,635 and 109,062

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Solution

The third proportional to 49,635 and 109,062 is: 239,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,635 : 109,062 = 109,062 : x
  2. Step 2: Convert to fraction form
    49,635/109,062 = 109,062/x
  3. Step 3: Cross multiply
    49,635x = 109,062 × 109,062
  4. Step 4: Simplify right side
    49,635x = 11,894,519,844
  5. Step 5: Solve for x
    x = 11,894,519,844/49,635
  6. Step 6: Final answer
    x = 239,639.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.