Finding the Third Proportional to 78,004 and 184,075
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Solution
The third proportional to 78,004 and 184,075 is: 434,382.92
Step by Step Solution
- Step 1: Write the proportion equation
78,004 : 184,075 = 184,075 : x - Step 2: Convert to fraction form
78,004/184,075 = 184,075/x - Step 3: Cross multiply
78,004x = 184,075 × 184,075 - Step 4: Simplify right side
78,004x = 33,883,605,625 - Step 5: Solve for x
x = 33,883,605,625/78,004 - Step 6: Final answer
x = 434,382.92
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.