Finding the Third Proportional to 77,944 and 169,004
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Solution
The third proportional to 77,944 and 169,004 is: 366,447.09
Step by Step Solution
- Step 1: Write the proportion equation
77,944 : 169,004 = 169,004 : x - Step 2: Convert to fraction form
77,944/169,004 = 169,004/x - Step 3: Cross multiply
77,944x = 169,004 × 169,004 - Step 4: Simplify right side
77,944x = 28,562,352,016 - Step 5: Solve for x
x = 28,562,352,016/77,944 - Step 6: Final answer
x = 366,447.09
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.