Finding the Third Proportional to 75,722.34 and 117,234.84
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Solution
The third proportional to 75,722.34 and 117,234.84 is: 181,505.32
Step by Step Solution
- Step 1: Write the proportion equation
75,722.34 : 117,234.84 = 117,234.84 : x - Step 2: Convert to fraction form
75,722.34/117,234.84 = 117,234.84/x - Step 3: Cross multiply
75,722.34x = 117,234.84 × 117,234.84 - Step 4: Simplify right side
75,722.34x = 13,744,008,589.09 - Step 5: Solve for x
x = 13,744,008,589.09/75,722.34 - Step 6: Final answer
x = 181,505.32
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.