Finding the Third Proportional to 49,981.50 and 101,970
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Solution
The third proportional to 49,981.50 and 101,970 is: 208,034.59
Step by Step Solution
- Step 1: Write the proportion equation
49,981.50 : 101,970 = 101,970 : x - Step 2: Convert to fraction form
49,981.50/101,970 = 101,970/x - Step 3: Cross multiply
49,981.50x = 101,970 × 101,970 - Step 4: Simplify right side
49,981.50x = 10,397,880,900 - Step 5: Solve for x
x = 10,397,880,900/49,981.50 - Step 6: Final answer
x = 208,034.59
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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.