Finding the Third Proportional to 70,780 and 99,162
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Solution
The third proportional to 70,780 and 99,162 is: 138,924.87
Step by Step Solution
- Step 1: Write the proportion equation
70,780 : 99,162 = 99,162 : x - Step 2: Convert to fraction form
70,780/99,162 = 99,162/x - Step 3: Cross multiply
70,780x = 99,162 × 99,162 - Step 4: Simplify right side
70,780x = 9,833,102,244 - Step 5: Solve for x
x = 9,833,102,244/70,780 - Step 6: Final answer
x = 138,924.87
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.