Finding the Third Proportional to 75,882.75 and 163,923.75
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Solution
The third proportional to 75,882.75 and 163,923.75 is: 354,112.05
Step by Step Solution
- Step 1: Write the proportion equation
75,882.75 : 163,923.75 = 163,923.75 : x - Step 2: Convert to fraction form
75,882.75/163,923.75 = 163,923.75/x - Step 3: Cross multiply
75,882.75x = 163,923.75 × 163,923.75 - Step 4: Simplify right side
75,882.75x = 26,870,995,814.06 - Step 5: Solve for x
x = 26,870,995,814.06/75,882.75 - Step 6: Final answer
x = 354,112.05
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.