Finding the Third Proportional to 53,526 and 123,951
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Solution
The third proportional to 53,526 and 123,951 is: 287,035.28
Step by Step Solution
- Step 1: Write the proportion equation
53,526 : 123,951 = 123,951 : x - Step 2: Convert to fraction form
53,526/123,951 = 123,951/x - Step 3: Cross multiply
53,526x = 123,951 × 123,951 - Step 4: Simplify right side
53,526x = 15,363,850,401 - Step 5: Solve for x
x = 15,363,850,401/53,526 - Step 6: Final answer
x = 287,035.28
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.