Finding the Third Proportional to 67,532 and 146,954
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Solution
The third proportional to 67,532 and 146,954 is: 319,781.41
Step by Step Solution
- Step 1: Write the proportion equation
67,532 : 146,954 = 146,954 : x - Step 2: Convert to fraction form
67,532/146,954 = 146,954/x - Step 3: Cross multiply
67,532x = 146,954 × 146,954 - Step 4: Simplify right side
67,532x = 21,595,478,116 - Step 5: Solve for x
x = 21,595,478,116/67,532 - Step 6: Final answer
x = 319,781.41
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.