Finding the Third Proportional to 74,596 and 145,412
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Solution
The third proportional to 74,596 and 145,412 is: 283,455.54
Step by Step Solution
- Step 1: Write the proportion equation
74,596 : 145,412 = 145,412 : x - Step 2: Convert to fraction form
74,596/145,412 = 145,412/x - Step 3: Cross multiply
74,596x = 145,412 × 145,412 - Step 4: Simplify right side
74,596x = 21,144,649,744 - Step 5: Solve for x
x = 21,144,649,744/74,596 - Step 6: Final answer
x = 283,455.54
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.