Finding the Third Proportional to 99,940 and 132,049
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Solution
The third proportional to 99,940 and 132,049 is: 174,474.07
Step by Step Solution
- Step 1: Write the proportion equation
99,940 : 132,049 = 132,049 : x - Step 2: Convert to fraction form
99,940/132,049 = 132,049/x - Step 3: Cross multiply
99,940x = 132,049 × 132,049 - Step 4: Simplify right side
99,940x = 17,436,938,401 - Step 5: Solve for x
x = 17,436,938,401/99,940 - Step 6: Final answer
x = 174,474.07
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.