Finding the Third Proportional to 62,184 and 146,178
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Solution
The third proportional to 62,184 and 146,178 is: 343,625.49
Step by Step Solution
- Step 1: Write the proportion equation
62,184 : 146,178 = 146,178 : x - Step 2: Convert to fraction form
62,184/146,178 = 146,178/x - Step 3: Cross multiply
62,184x = 146,178 × 146,178 - Step 4: Simplify right side
62,184x = 21,368,007,684 - Step 5: Solve for x
x = 21,368,007,684/62,184 - Step 6: Final answer
x = 343,625.49
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.