Finding the Third Proportional to 103,577 and 159,944
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Solution
The third proportional to 103,577 and 159,944 is: 246,986.14
Step by Step Solution
- Step 1: Write the proportion equation
103,577 : 159,944 = 159,944 : x - Step 2: Convert to fraction form
103,577/159,944 = 159,944/x - Step 3: Cross multiply
103,577x = 159,944 × 159,944 - Step 4: Simplify right side
103,577x = 25,582,083,136 - Step 5: Solve for x
x = 25,582,083,136/103,577 - Step 6: Final answer
x = 246,986.14
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.