Finding the Third Proportional to 76,502 and 116,944
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Solution
The third proportional to 76,502 and 116,944 is: 178,765.25
Step by Step Solution
- Step 1: Write the proportion equation
76,502 : 116,944 = 116,944 : x - Step 2: Convert to fraction form
76,502/116,944 = 116,944/x - Step 3: Cross multiply
76,502x = 116,944 × 116,944 - Step 4: Simplify right side
76,502x = 13,675,899,136 - Step 5: Solve for x
x = 13,675,899,136/76,502 - Step 6: Final answer
x = 178,765.25
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.