Finding the Third Proportional to 76,162 and 165,284
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Solution
The third proportional to 76,162 and 165,284 is: 358,693.32
Step by Step Solution
- Step 1: Write the proportion equation
76,162 : 165,284 = 165,284 : x - Step 2: Convert to fraction form
76,162/165,284 = 165,284/x - Step 3: Cross multiply
76,162x = 165,284 × 165,284 - Step 4: Simplify right side
76,162x = 27,318,800,656 - Step 5: Solve for x
x = 27,318,800,656/76,162 - Step 6: Final answer
x = 358,693.32
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.