Finding the Third Proportional to 107,680 and 165,288
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Solution
The third proportional to 107,680 and 165,288 is: 253,715.85
Step by Step Solution
- Step 1: Write the proportion equation
107,680 : 165,288 = 165,288 : x - Step 2: Convert to fraction form
107,680/165,288 = 165,288/x - Step 3: Cross multiply
107,680x = 165,288 × 165,288 - Step 4: Simplify right side
107,680x = 27,320,122,944 - Step 5: Solve for x
x = 27,320,122,944/107,680 - Step 6: Final answer
x = 253,715.85
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.