Finding the Third Proportional to 76,530 and 102,645
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Solution
The third proportional to 76,530 and 102,645 is: 137,671.45
Step by Step Solution
- Step 1: Write the proportion equation
76,530 : 102,645 = 102,645 : x - Step 2: Convert to fraction form
76,530/102,645 = 102,645/x - Step 3: Cross multiply
76,530x = 102,645 × 102,645 - Step 4: Simplify right side
76,530x = 10,535,996,025 - Step 5: Solve for x
x = 10,535,996,025/76,530 - Step 6: Final answer
x = 137,671.45
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.