Finding the Third Proportional to 51,971 and 114,171
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Solution
The third proportional to 51,971 and 114,171 is: 250,813.29
Step by Step Solution
- Step 1: Write the proportion equation
51,971 : 114,171 = 114,171 : x - Step 2: Convert to fraction form
51,971/114,171 = 114,171/x - Step 3: Cross multiply
51,971x = 114,171 × 114,171 - Step 4: Simplify right side
51,971x = 13,035,017,241 - Step 5: Solve for x
x = 13,035,017,241/51,971 - Step 6: Final answer
x = 250,813.29
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.