Finding the Third Proportional to 103,082 and 156,787
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Solution
The third proportional to 103,082 and 156,787 is: 238,471.93
Step by Step Solution
- Step 1: Write the proportion equation
103,082 : 156,787 = 156,787 : x - Step 2: Convert to fraction form
103,082/156,787 = 156,787/x - Step 3: Cross multiply
103,082x = 156,787 × 156,787 - Step 4: Simplify right side
103,082x = 24,582,163,369 - Step 5: Solve for x
x = 24,582,163,369/103,082 - Step 6: Final answer
x = 238,471.93
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.