Finding the Third Proportional to 75,206 and 165,286
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Solution
The third proportional to 75,206 and 165,286 is: 363,261.73
Step by Step Solution
- Step 1: Write the proportion equation
75,206 : 165,286 = 165,286 : x - Step 2: Convert to fraction form
75,206/165,286 = 165,286/x - Step 3: Cross multiply
75,206x = 165,286 × 165,286 - Step 4: Simplify right side
75,206x = 27,319,461,796 - Step 5: Solve for x
x = 27,319,461,796/75,206 - Step 6: Final answer
x = 363,261.73
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.