Finding the Third Proportional to 65,702 and 144,122
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Solution
The third proportional to 65,702 and 144,122 is: 316,141.84
Step by Step Solution
- Step 1: Write the proportion equation
65,702 : 144,122 = 144,122 : x - Step 2: Convert to fraction form
65,702/144,122 = 144,122/x - Step 3: Cross multiply
65,702x = 144,122 × 144,122 - Step 4: Simplify right side
65,702x = 20,771,150,884 - Step 5: Solve for x
x = 20,771,150,884/65,702 - Step 6: Final answer
x = 316,141.84
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.