Finding the Third Proportional to 121,144 and 282,970
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Solution
The third proportional to 121,144 and 282,970 is: 660,965.64
Step by Step Solution
- Step 1: Write the proportion equation
121,144 : 282,970 = 282,970 : x - Step 2: Convert to fraction form
121,144/282,970 = 282,970/x - Step 3: Cross multiply
121,144x = 282,970 × 282,970 - Step 4: Simplify right side
121,144x = 80,072,020,900 - Step 5: Solve for x
x = 80,072,020,900/121,144 - Step 6: Final answer
x = 660,965.64
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.