Finding the Third Proportional to 77,328 and 162,954
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Solution
The third proportional to 77,328 and 162,954 is: 343,394.45
Step by Step Solution
- Step 1: Write the proportion equation
77,328 : 162,954 = 162,954 : x - Step 2: Convert to fraction form
77,328/162,954 = 162,954/x - Step 3: Cross multiply
77,328x = 162,954 × 162,954 - Step 4: Simplify right side
77,328x = 26,554,006,116 - Step 5: Solve for x
x = 26,554,006,116/77,328 - Step 6: Final answer
x = 343,394.45
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.