Finding the Third Proportional to 102,236.25 and 155,193.75
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Solution
The third proportional to 102,236.25 and 155,193.75 is: 235,582.78
Step by Step Solution
- Step 1: Write the proportion equation
102,236.25 : 155,193.75 = 155,193.75 : x - Step 2: Convert to fraction form
102,236.25/155,193.75 = 155,193.75/x - Step 3: Cross multiply
102,236.25x = 155,193.75 × 155,193.75 - Step 4: Simplify right side
102,236.25x = 24,085,100,039.06 - Step 5: Solve for x
x = 24,085,100,039.06/102,236.25 - Step 6: Final answer
x = 235,582.78
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.