Finding the Third Proportional to 102,214 and 140,751
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Solution
The third proportional to 102,214 and 140,751 is: 193,817.32
Step by Step Solution
- Step 1: Write the proportion equation
102,214 : 140,751 = 140,751 : x - Step 2: Convert to fraction form
102,214/140,751 = 140,751/x - Step 3: Cross multiply
102,214x = 140,751 × 140,751 - Step 4: Simplify right side
102,214x = 19,810,844,001 - Step 5: Solve for x
x = 19,810,844,001/102,214 - Step 6: Final answer
x = 193,817.32
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.