Finding the Third Proportional to 100,072.50 and 154,784
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Solution
The third proportional to 100,072.50 and 154,784 is: 239,407.30
Step by Step Solution
- Step 1: Write the proportion equation
100,072.50 : 154,784 = 154,784 : x - Step 2: Convert to fraction form
100,072.50/154,784 = 154,784/x - Step 3: Cross multiply
100,072.50x = 154,784 × 154,784 - Step 4: Simplify right side
100,072.50x = 23,958,086,656 - Step 5: Solve for x
x = 23,958,086,656/100,072.50 - Step 6: Final answer
x = 239,407.30
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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.