Finding the Third Proportional to 129,816 and 197,154
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Solution
The third proportional to 129,816 and 197,154 is: 299,421.49
Step by Step Solution
- Step 1: Write the proportion equation
129,816 : 197,154 = 197,154 : x - Step 2: Convert to fraction form
129,816/197,154 = 197,154/x - Step 3: Cross multiply
129,816x = 197,154 × 197,154 - Step 4: Simplify right side
129,816x = 38,869,699,716 - Step 5: Solve for x
x = 38,869,699,716/129,816 - Step 6: Final answer
x = 299,421.49
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.