TranslatedWord trWord=new TranslatedWord();

@Override
protected void onPostExecute(JSONObject json) {
    try {
        JSONArray result = json.getJSONArray(TAG_RESULTS);
        String text = result.getString(0); //Catched string here

        trWord.setTranslatedWord(text);
    } catch (JSONException e) {
        e.printStackTrace();
    }
}

public class TranslatedWord {
    private String trWord;

    public void setTranslatedWord(String trWord) {
        this.trWord = trWord;
    }

    public String getTrWord() {
        return trWord;
    }

    public void setTrWord(String trWord) {
        this.trWord = trWord;
    }
}

String translatedWord = trWord.getTrWord();