Finding the Third Proportional to 122,196 and 182,142
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Solution
The third proportional to 122,196 and 182,142 is: 271,495.86
Step by Step Solution
- Step 1: Write the proportion equation
122,196 : 182,142 = 182,142 : x - Step 2: Convert to fraction form
122,196/182,142 = 182,142/x - Step 3: Cross multiply
122,196x = 182,142 × 182,142 - Step 4: Simplify right side
122,196x = 33,175,708,164 - Step 5: Solve for x
x = 33,175,708,164/122,196 - Step 6: Final answer
x = 271,495.86
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.