Finding the Third Proportional to 105,456 and 143,160
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Solution
The third proportional to 105,456 and 143,160 is: 194,344.42
Step by Step Solution
- Step 1: Write the proportion equation
105,456 : 143,160 = 143,160 : x - Step 2: Convert to fraction form
105,456/143,160 = 143,160/x - Step 3: Cross multiply
105,456x = 143,160 × 143,160 - Step 4: Simplify right side
105,456x = 20,494,785,600 - Step 5: Solve for x
x = 20,494,785,600/105,456 - Step 6: Final answer
x = 194,344.42
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.