Finding the Third Proportional to 102,227 and 156,910
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Solution
The third proportional to 102,227 and 156,910 is: 240,843.89
Step by Step Solution
- Step 1: Write the proportion equation
102,227 : 156,910 = 156,910 : x - Step 2: Convert to fraction form
102,227/156,910 = 156,910/x - Step 3: Cross multiply
102,227x = 156,910 × 156,910 - Step 4: Simplify right side
102,227x = 24,620,748,100 - Step 5: Solve for x
x = 24,620,748,100/102,227 - Step 6: Final answer
x = 240,843.89
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.