Finding the Third Proportional to 102,722.50 and 144,231.75
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Solution
The third proportional to 102,722.50 and 144,231.75 is: 202,514.52
Step by Step Solution
- Step 1: Write the proportion equation
102,722.50 : 144,231.75 = 144,231.75 : x - Step 2: Convert to fraction form
102,722.50/144,231.75 = 144,231.75/x - Step 3: Cross multiply
102,722.50x = 144,231.75 × 144,231.75 - Step 4: Simplify right side
102,722.50x = 20,802,797,708.06 - Step 5: Solve for x
x = 20,802,797,708.06/102,722.50 - Step 6: Final answer
x = 202,514.52
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.