Finding the Third Proportional to 83,532 and 173,976
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Solution
The third proportional to 83,532 and 173,976 is: 362,347.95
Step by Step Solution
- Step 1: Write the proportion equation
83,532 : 173,976 = 173,976 : x - Step 2: Convert to fraction form
83,532/173,976 = 173,976/x - Step 3: Cross multiply
83,532x = 173,976 × 173,976 - Step 4: Simplify right side
83,532x = 30,267,648,576 - Step 5: Solve for x
x = 30,267,648,576/83,532 - Step 6: Final answer
x = 362,347.95
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.