Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
ibnmajah:413Maḥmūd b. Khālid al-Dimashqī > al-Walīd b. Muslim al-Dimashqī > Ibn Thawbān > ʿAbdah b. Abū Lubābah > Shaqīq b. Salamah

"I saw ʿUthman and ʿAli performing ablution, washing each part three times, and they said: 'This is how the Messenger of Allah used to perform ablution.'" (Hasan) Another chain with similar wording.  

ابن ماجة:٤١٣حَدَّثَنَا مَحْمُودُ بْنُ خَالِدٍ الدِّمَشْقِيُّ حَدَّثَنَا الْوَلِيدُ بْنُ مُسْلِمٍ الدِّمَشْقِيُّ عَنِ ابْنِ ثَوْبَانَ عَنْ عَبْدَةَ بْنِ أَبِي لُبَابَةَ عَنْ شَقِيقِ بْنِ سَلَمَةَ قَالَ

رَأَيْتُ عُثْمَانَ وَعَلِيًّا يَتَوَضَّآنِ ثَلاَثًا ثَلاَثًا وَيَقُولاَنِ هَكَذَا كَانَ وُضُوءُ رَسُولِ اللَّهِ ﷺ قَالَ أَبُو الْحَسَنِ بْنُ سَلَمَةَ حَدَّثَنَاهُ أَبُو حَاتِمٍ حَدَّثَنَا أَبُو نُعَيْمٍ حَدَّثَنَا عَبْدُ الرَّحْمَنِ بْنُ ثَابِتِ بْنِ ثَوْبَانَ فَذَكَرَ نَحْوَهُ