Finding the Third Proportional to 76,952 and 164,853
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Solution
The third proportional to 76,952 and 164,853 is: 353,161.86
Step by Step Solution
- Step 1: Write the proportion equation
76,952 : 164,853 = 164,853 : x - Step 2: Convert to fraction form
76,952/164,853 = 164,853/x - Step 3: Cross multiply
76,952x = 164,853 × 164,853 - Step 4: Simplify right side
76,952x = 27,176,511,609 - Step 5: Solve for x
x = 27,176,511,609/76,952 - Step 6: Final answer
x = 353,161.86
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.