Finding the Third Proportional to 72,824 and 111,352
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Solution
The third proportional to 72,824 and 111,352 is: 170,263.48
Step by Step Solution
- Step 1: Write the proportion equation
72,824 : 111,352 = 111,352 : x - Step 2: Convert to fraction form
72,824/111,352 = 111,352/x - Step 3: Cross multiply
72,824x = 111,352 × 111,352 - Step 4: Simplify right side
72,824x = 12,399,267,904 - Step 5: Solve for x
x = 12,399,267,904/72,824 - Step 6: Final answer
x = 170,263.48
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.