Finding the Third Proportional to 81,648 and 177,876
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Solution
The third proportional to 81,648 and 177,876 is: 387,515.57
Step by Step Solution
- Step 1: Write the proportion equation
81,648 : 177,876 = 177,876 : x - Step 2: Convert to fraction form
81,648/177,876 = 177,876/x - Step 3: Cross multiply
81,648x = 177,876 × 177,876 - Step 4: Simplify right side
81,648x = 31,639,871,376 - Step 5: Solve for x
x = 31,639,871,376/81,648 - Step 6: Final answer
x = 387,515.57
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.