Finding the Third Proportional to 114,144 and 177,432
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Solution
The third proportional to 114,144 and 177,432 is: 275,810.51
Step by Step Solution
- Step 1: Write the proportion equation
114,144 : 177,432 = 177,432 : x - Step 2: Convert to fraction form
114,144/177,432 = 177,432/x - Step 3: Cross multiply
114,144x = 177,432 × 177,432 - Step 4: Simplify right side
114,144x = 31,482,114,624 - Step 5: Solve for x
x = 31,482,114,624/114,144 - Step 6: Final answer
x = 275,810.51
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.