Finding the Third Proportional to 120,420 and 177,162
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Solution
The third proportional to 120,420 and 177,162 is: 260,640.88
Step by Step Solution
- Step 1: Write the proportion equation
120,420 : 177,162 = 177,162 : x - Step 2: Convert to fraction form
120,420/177,162 = 177,162/x - Step 3: Cross multiply
120,420x = 177,162 × 177,162 - Step 4: Simplify right side
120,420x = 31,386,374,244 - Step 5: Solve for x
x = 31,386,374,244/120,420 - Step 6: Final answer
x = 260,640.88
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.