Finding the Third Proportional to 53,302 and 116,000
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Solution
The third proportional to 53,302 and 116,000 is: 252,448.31
Step by Step Solution
- Step 1: Write the proportion equation
53,302 : 116,000 = 116,000 : x - Step 2: Convert to fraction form
53,302/116,000 = 116,000/x - Step 3: Cross multiply
53,302x = 116,000 × 116,000 - Step 4: Simplify right side
53,302x = 13,456,000,000 - Step 5: Solve for x
x = 13,456,000,000/53,302 - Step 6: Final answer
x = 252,448.31
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.