Finding the Third Proportional to 77,174 and 163,822
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Solution
The third proportional to 77,174 and 163,822 is: 347,755.04
Step by Step Solution
- Step 1: Write the proportion equation
77,174 : 163,822 = 163,822 : x - Step 2: Convert to fraction form
77,174/163,822 = 163,822/x - Step 3: Cross multiply
77,174x = 163,822 × 163,822 - Step 4: Simplify right side
77,174x = 26,837,647,684 - Step 5: Solve for x
x = 26,837,647,684/77,174 - Step 6: Final answer
x = 347,755.04
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.