Finding the Third Proportional to 48,415.50 and 103,743
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Solution
The third proportional to 48,415.50 and 103,743 is: 222,296.79
Step by Step Solution
- Step 1: Write the proportion equation
48,415.50 : 103,743 = 103,743 : x - Step 2: Convert to fraction form
48,415.50/103,743 = 103,743/x - Step 3: Cross multiply
48,415.50x = 103,743 × 103,743 - Step 4: Simplify right side
48,415.50x = 10,762,610,049 - Step 5: Solve for x
x = 10,762,610,049/48,415.50 - Step 6: Final answer
x = 222,296.79
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.