Finding the Third Proportional to 51,901 and 77,853
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Solution
The third proportional to 51,901 and 77,853 is: 116,781.75
Step by Step Solution
- Step 1: Write the proportion equation
51,901 : 77,853 = 77,853 : x - Step 2: Convert to fraction form
51,901/77,853 = 77,853/x - Step 3: Cross multiply
51,901x = 77,853 × 77,853 - Step 4: Simplify right side
51,901x = 6,061,089,609 - Step 5: Solve for x
x = 6,061,089,609/51,901 - Step 6: Final answer
x = 116,781.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.