Finding the Third Proportional to 102,868 and 160,317
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Solution
The third proportional to 102,868 and 160,317 is: 249,849.72
Step by Step Solution
- Step 1: Write the proportion equation
102,868 : 160,317 = 160,317 : x - Step 2: Convert to fraction form
102,868/160,317 = 160,317/x - Step 3: Cross multiply
102,868x = 160,317 × 160,317 - Step 4: Simplify right side
102,868x = 25,701,540,489 - Step 5: Solve for x
x = 25,701,540,489/102,868 - Step 6: Final answer
x = 249,849.72
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.