Finding the Third Proportional to 68,184 and 146,082
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Solution
The third proportional to 68,184 and 146,082 is: 312,975.93
Step by Step Solution
- Step 1: Write the proportion equation
68,184 : 146,082 = 146,082 : x - Step 2: Convert to fraction form
68,184/146,082 = 146,082/x - Step 3: Cross multiply
68,184x = 146,082 × 146,082 - Step 4: Simplify right side
68,184x = 21,339,950,724 - Step 5: Solve for x
x = 21,339,950,724/68,184 - Step 6: Final answer
x = 312,975.93
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.