Finding the Third Proportional to 75,824 and 165,094
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Solution
The third proportional to 75,824 and 165,094 is: 359,464.40
Step by Step Solution
- Step 1: Write the proportion equation
75,824 : 165,094 = 165,094 : x - Step 2: Convert to fraction form
75,824/165,094 = 165,094/x - Step 3: Cross multiply
75,824x = 165,094 × 165,094 - Step 4: Simplify right side
75,824x = 27,256,028,836 - Step 5: Solve for x
x = 27,256,028,836/75,824 - Step 6: Final answer
x = 359,464.40
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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.