Finding the Third Proportional to 76,036 and 165,464
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Solution
The third proportional to 76,036 and 165,464 is: 360,070.69
Step by Step Solution
- Step 1: Write the proportion equation
76,036 : 165,464 = 165,464 : x - Step 2: Convert to fraction form
76,036/165,464 = 165,464/x - Step 3: Cross multiply
76,036x = 165,464 × 165,464 - Step 4: Simplify right side
76,036x = 27,378,335,296 - Step 5: Solve for x
x = 27,378,335,296/76,036 - Step 6: Final answer
x = 360,070.69
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.