Finding the Third Proportional to 51,548 and 120,442
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Solution
The third proportional to 51,548 and 120,442 is: 281,412.96
Step by Step Solution
- Step 1: Write the proportion equation
51,548 : 120,442 = 120,442 : x - Step 2: Convert to fraction form
51,548/120,442 = 120,442/x - Step 3: Cross multiply
51,548x = 120,442 × 120,442 - Step 4: Simplify right side
51,548x = 14,506,275,364 - Step 5: Solve for x
x = 14,506,275,364/51,548 - Step 6: Final answer
x = 281,412.96
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.