Finding the Third Proportional to 76,366 and 164,020
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Solution
The third proportional to 76,366 and 164,020 is: 352,284.53
Step by Step Solution
- Step 1: Write the proportion equation
76,366 : 164,020 = 164,020 : x - Step 2: Convert to fraction form
76,366/164,020 = 164,020/x - Step 3: Cross multiply
76,366x = 164,020 × 164,020 - Step 4: Simplify right side
76,366x = 26,902,560,400 - Step 5: Solve for x
x = 26,902,560,400/76,366 - Step 6: Final answer
x = 352,284.53
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.