Finding the Third Proportional to 103,965 and 165,279
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Solution
The third proportional to 103,965 and 165,279 is: 262,753.31
Step by Step Solution
- Step 1: Write the proportion equation
103,965 : 165,279 = 165,279 : x - Step 2: Convert to fraction form
103,965/165,279 = 165,279/x - Step 3: Cross multiply
103,965x = 165,279 × 165,279 - Step 4: Simplify right side
103,965x = 27,317,147,841 - Step 5: Solve for x
x = 27,317,147,841/103,965 - Step 6: Final answer
x = 262,753.31
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.