Finding the Third Proportional to 75,762 and 115,950
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Solution
The third proportional to 75,762 and 115,950 is: 177,455.75
Step by Step Solution
- Step 1: Write the proportion equation
75,762 : 115,950 = 115,950 : x - Step 2: Convert to fraction form
75,762/115,950 = 115,950/x - Step 3: Cross multiply
75,762x = 115,950 × 115,950 - Step 4: Simplify right side
75,762x = 13,444,402,500 - Step 5: Solve for x
x = 13,444,402,500/75,762 - Step 6: Final answer
x = 177,455.75
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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.