Finding the Third Proportional to 49,871.50 and 106,655
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Solution
The third proportional to 49,871.50 and 106,655 is: 228,091.98
Step by Step Solution
- Step 1: Write the proportion equation
49,871.50 : 106,655 = 106,655 : x - Step 2: Convert to fraction form
49,871.50/106,655 = 106,655/x - Step 3: Cross multiply
49,871.50x = 106,655 × 106,655 - Step 4: Simplify right side
49,871.50x = 11,375,289,025 - Step 5: Solve for x
x = 11,375,289,025/49,871.50 - Step 6: Final answer
x = 228,091.98
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.