Finding the Third Proportional to 83,103 and 181,758
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Solution
The third proportional to 83,103 and 181,758 is: 397,530.42
Step by Step Solution
- Step 1: Write the proportion equation
83,103 : 181,758 = 181,758 : x - Step 2: Convert to fraction form
83,103/181,758 = 181,758/x - Step 3: Cross multiply
83,103x = 181,758 × 181,758 - Step 4: Simplify right side
83,103x = 33,035,970,564 - Step 5: Solve for x
x = 33,035,970,564/83,103 - Step 6: Final answer
x = 397,530.42
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.