Finding the Third Proportional to 68,091 and 105,864
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Solution
The third proportional to 68,091 and 105,864 is: 164,591.30
Step by Step Solution
- Step 1: Write the proportion equation
68,091 : 105,864 = 105,864 : x - Step 2: Convert to fraction form
68,091/105,864 = 105,864/x - Step 3: Cross multiply
68,091x = 105,864 × 105,864 - Step 4: Simplify right side
68,091x = 11,207,186,496 - Step 5: Solve for x
x = 11,207,186,496/68,091 - Step 6: Final answer
x = 164,591.30
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.