Finding the Third Proportional to 75,822.75 and 116,052.75
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Solution
The third proportional to 75,822.75 and 116,052.75 is: 177,627.96
Step by Step Solution
- Step 1: Write the proportion equation
75,822.75 : 116,052.75 = 116,052.75 : x - Step 2: Convert to fraction form
75,822.75/116,052.75 = 116,052.75/x - Step 3: Cross multiply
75,822.75x = 116,052.75 × 116,052.75 - Step 4: Simplify right side
75,822.75x = 13,468,240,782.56 - Step 5: Solve for x
x = 13,468,240,782.56/75,822.75 - Step 6: Final answer
x = 177,627.96
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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.