Finding the Third Proportional to 53,170 and 72,241
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Solution
The third proportional to 53,170 and 72,241 is: 98,152.38
Step by Step Solution
- Step 1: Write the proportion equation
53,170 : 72,241 = 72,241 : x - Step 2: Convert to fraction form
53,170/72,241 = 72,241/x - Step 3: Cross multiply
53,170x = 72,241 × 72,241 - Step 4: Simplify right side
53,170x = 5,218,762,081 - Step 5: Solve for x
x = 5,218,762,081/53,170 - Step 6: Final answer
x = 98,152.38
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.