Finding the Third Proportional to 75,530 and 161,748
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Solution
The third proportional to 75,530 and 161,748 is: 346,384.42
Step by Step Solution
- Step 1: Write the proportion equation
75,530 : 161,748 = 161,748 : x - Step 2: Convert to fraction form
75,530/161,748 = 161,748/x - Step 3: Cross multiply
75,530x = 161,748 × 161,748 - Step 4: Simplify right side
75,530x = 26,162,415,504 - Step 5: Solve for x
x = 26,162,415,504/75,530 - Step 6: Final answer
x = 346,384.42
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.