Finding the Third Proportional to 105,704 and 140,916
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Solution
The third proportional to 105,704 and 140,916 is: 187,857.78
Step by Step Solution
- Step 1: Write the proportion equation
105,704 : 140,916 = 140,916 : x - Step 2: Convert to fraction form
105,704/140,916 = 140,916/x - Step 3: Cross multiply
105,704x = 140,916 × 140,916 - Step 4: Simplify right side
105,704x = 19,857,319,056 - Step 5: Solve for x
x = 19,857,319,056/105,704 - Step 6: Final answer
x = 187,857.78
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.