A retail firm is in the process of forecasting its monthly sales using exponential smoothing. The company has historical sales data for the past $12$ months. The management is considering using a smoothing constant $($alpha$)$ of $0\mathrm{.}2$ for the exponential smoothing model. Actual sales and forecast for the most recent month are $120,000$ units and $110,000$ units, respectively. Calculate the forecasted sales for the next month using the exponential smoothing method. $($Ans:$112,000)$