Finding the Third Proportional to 78,411 and 169,782
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Solution
The third proportional to 78,411 and 169,782 is: 367,626.07
Step by Step Solution
- Step 1: Write the proportion equation
78,411 : 169,782 = 169,782 : x - Step 2: Convert to fraction form
78,411/169,782 = 169,782/x - Step 3: Cross multiply
78,411x = 169,782 × 169,782 - Step 4: Simplify right side
78,411x = 28,825,927,524 - Step 5: Solve for x
x = 28,825,927,524/78,411 - Step 6: Final answer
x = 367,626.07
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.