Finding the Third Proportional to 102,396 and 160,283
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Solution
The third proportional to 102,396 and 160,283 is: 250,894.96
Step by Step Solution
- Step 1: Write the proportion equation
102,396 : 160,283 = 160,283 : x - Step 2: Convert to fraction form
102,396/160,283 = 160,283/x - Step 3: Cross multiply
102,396x = 160,283 × 160,283 - Step 4: Simplify right side
102,396x = 25,690,640,089 - Step 5: Solve for x
x = 25,690,640,089/102,396 - Step 6: Final answer
x = 250,894.96
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.