Finding the Third Proportional to 77,976 and 165,672
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Solution
The third proportional to 77,976 and 165,672 is: 351,995.63
Step by Step Solution
- Step 1: Write the proportion equation
77,976 : 165,672 = 165,672 : x - Step 2: Convert to fraction form
77,976/165,672 = 165,672/x - Step 3: Cross multiply
77,976x = 165,672 × 165,672 - Step 4: Simplify right side
77,976x = 27,447,211,584 - Step 5: Solve for x
x = 27,447,211,584/77,976 - Step 6: Final answer
x = 351,995.63
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.