Finding the Third Proportional to 83,317 and 118,743
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Solution
The third proportional to 83,317 and 118,743 is: 169,231.97
Step by Step Solution
- Step 1: Write the proportion equation
83,317 : 118,743 = 118,743 : x - Step 2: Convert to fraction form
83,317/118,743 = 118,743/x - Step 3: Cross multiply
83,317x = 118,743 × 118,743 - Step 4: Simplify right side
83,317x = 14,099,900,049 - Step 5: Solve for x
x = 14,099,900,049/83,317 - Step 6: Final answer
x = 169,231.97
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.