Finding the Third Proportional to 75,096.75 and 115,471.13
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Solution
The third proportional to 75,096.75 and 115,471.13 is: 177,552.03
Step by Step Solution
- Step 1: Write the proportion equation
75,096.75 : 115,471.13 = 115,471.13 : x - Step 2: Convert to fraction form
75,096.75/115,471.13 = 115,471.13/x - Step 3: Cross multiply
75,096.75x = 115,471.13 × 115,471.13 - Step 4: Simplify right side
75,096.75x = 13,333,580,708.77 - Step 5: Solve for x
x = 13,333,580,708.77/75,096.75 - Step 6: Final answer
x = 177,552.03
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.