Finding the Third Proportional to 43,198 and 70,539
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Solution
The third proportional to 43,198 and 70,539 is: 115,184.74
Step by Step Solution
- Step 1: Write the proportion equation
43,198 : 70,539 = 70,539 : x - Step 2: Convert to fraction form
43,198/70,539 = 70,539/x - Step 3: Cross multiply
43,198x = 70,539 × 70,539 - Step 4: Simplify right side
43,198x = 4,975,750,521 - Step 5: Solve for x
x = 4,975,750,521/43,198 - Step 6: Final answer
x = 115,184.74
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.