Finding the Third Proportional to 53,826 and 130,245
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Solution
The third proportional to 53,826 and 130,245 is: 315,159.22
Step by Step Solution
- Step 1: Write the proportion equation
53,826 : 130,245 = 130,245 : x - Step 2: Convert to fraction form
53,826/130,245 = 130,245/x - Step 3: Cross multiply
53,826x = 130,245 × 130,245 - Step 4: Simplify right side
53,826x = 16,963,760,025 - Step 5: Solve for x
x = 16,963,760,025/53,826 - Step 6: Final answer
x = 315,159.22
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.