Finding the Third Proportional to 105,964.50 and 158,949
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Solution
The third proportional to 105,964.50 and 158,949 is: 238,426.88
Step by Step Solution
- Step 1: Write the proportion equation
105,964.50 : 158,949 = 158,949 : x - Step 2: Convert to fraction form
105,964.50/158,949 = 158,949/x - Step 3: Cross multiply
105,964.50x = 158,949 × 158,949 - Step 4: Simplify right side
105,964.50x = 25,264,784,601 - Step 5: Solve for x
x = 25,264,784,601/105,964.50 - Step 6: Final answer
x = 238,426.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.