Finding the Third Proportional to 75,916 and 166,070
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Solution
The third proportional to 75,916 and 166,070 is: 363,286.33
Step by Step Solution
- Step 1: Write the proportion equation
75,916 : 166,070 = 166,070 : x - Step 2: Convert to fraction form
75,916/166,070 = 166,070/x - Step 3: Cross multiply
75,916x = 166,070 × 166,070 - Step 4: Simplify right side
75,916x = 27,579,244,900 - Step 5: Solve for x
x = 27,579,244,900/75,916 - Step 6: Final answer
x = 363,286.33
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.