Finding the Third Proportional to 83,578 and 122,167
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Solution
The third proportional to 83,578 and 122,167 is: 178,573.02
Step by Step Solution
- Step 1: Write the proportion equation
83,578 : 122,167 = 122,167 : x - Step 2: Convert to fraction form
83,578/122,167 = 122,167/x - Step 3: Cross multiply
83,578x = 122,167 × 122,167 - Step 4: Simplify right side
83,578x = 14,924,775,889 - Step 5: Solve for x
x = 14,924,775,889/83,578 - Step 6: Final answer
x = 178,573.02
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.