Finding the Third Proportional to 45,509 and 71,236
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Solution
The third proportional to 45,509 and 71,236 is: 111,506.90
Step by Step Solution
- Step 1: Write the proportion equation
45,509 : 71,236 = 71,236 : x - Step 2: Convert to fraction form
45,509/71,236 = 71,236/x - Step 3: Cross multiply
45,509x = 71,236 × 71,236 - Step 4: Simplify right side
45,509x = 5,074,567,696 - Step 5: Solve for x
x = 5,074,567,696/45,509 - Step 6: Final answer
x = 111,506.90
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.