Psalm 103:3 speaks of God who forgives all iniquities and heals all diseases, which is echoed in Isaiah 53:5 where the suffering servant's wounds bring healing, pointing to the redemptive work of Christ.
Psalm 103:8 describes the Lord as merciful and gracious, slow to anger, and abounding in steadfast love, which directly reflects God's self-revelation to Moses in Exodus 34:6.
Psalm 103:12 speaks of God removing our transgressions as far as the east is from the west, which is paralleled in Micah 7:19 where God casts sins into the depths of the sea, emphasizing complete forgiveness.
Psalm 103:14 acknowledges that God knows our frame and remembers that we are dust, which connects to Genesis 2:7 where God forms man from the dust of the ground, highlighting human frailty and God's understanding.
Psalm 103:19 declares the Lord's sovereignty with His throne established in the heavens, which is affirmed in Daniel 4:34-35 where Nebuchadnezzar acknowledges God's eternal dominion and sovereign rule over all.