Finding the Third Proportional to 102,242 and 154,947
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Solution
The third proportional to 102,242 and 154,947 is: 234,821.04
Step by Step Solution
- Step 1: Write the proportion equation
102,242 : 154,947 = 154,947 : x - Step 2: Convert to fraction form
102,242/154,947 = 154,947/x - Step 3: Cross multiply
102,242x = 154,947 × 154,947 - Step 4: Simplify right side
102,242x = 24,008,572,809 - Step 5: Solve for x
x = 24,008,572,809/102,242 - Step 6: Final answer
x = 234,821.04
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.