Finding the Third Proportional to 80,725.50 and 177,003
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Solution
The third proportional to 80,725.50 and 177,003 is: 388,106.14
Step by Step Solution
- Step 1: Write the proportion equation
80,725.50 : 177,003 = 177,003 : x - Step 2: Convert to fraction form
80,725.50/177,003 = 177,003/x - Step 3: Cross multiply
80,725.50x = 177,003 × 177,003 - Step 4: Simplify right side
80,725.50x = 31,330,062,009 - Step 5: Solve for x
x = 31,330,062,009/80,725.50 - Step 6: Final answer
x = 388,106.14
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.