Finding the Third Proportional to 51,342 and 75,234
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Solution
The third proportional to 51,342 and 75,234 is: 110,244.14
Step by Step Solution
- Step 1: Write the proportion equation
51,342 : 75,234 = 75,234 : x - Step 2: Convert to fraction form
51,342/75,234 = 75,234/x - Step 3: Cross multiply
51,342x = 75,234 × 75,234 - Step 4: Simplify right side
51,342x = 5,660,154,756 - Step 5: Solve for x
x = 5,660,154,756/51,342 - Step 6: Final answer
x = 110,244.14
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.