Finding the Third Proportional to 105,816 and 143,550
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Solution
The third proportional to 105,816 and 143,550 is: 194,739.95
Step by Step Solution
- Step 1: Write the proportion equation
105,816 : 143,550 = 143,550 : x - Step 2: Convert to fraction form
105,816/143,550 = 143,550/x - Step 3: Cross multiply
105,816x = 143,550 × 143,550 - Step 4: Simplify right side
105,816x = 20,606,602,500 - Step 5: Solve for x
x = 20,606,602,500/105,816 - Step 6: Final answer
x = 194,739.95
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.