Finding the Third Proportional to 105,164 and 163,147
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Solution
The third proportional to 105,164 and 163,147 is: 253,099.38
Step by Step Solution
- Step 1: Write the proportion equation
105,164 : 163,147 = 163,147 : x - Step 2: Convert to fraction form
105,164/163,147 = 163,147/x - Step 3: Cross multiply
105,164x = 163,147 × 163,147 - Step 4: Simplify right side
105,164x = 26,616,943,609 - Step 5: Solve for x
x = 26,616,943,609/105,164 - Step 6: Final answer
x = 253,099.38
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.