Finding the Third Proportional to 103,740 and 146,802
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Solution
The third proportional to 103,740 and 146,802 is: 207,738.84
Step by Step Solution
- Step 1: Write the proportion equation
103,740 : 146,802 = 146,802 : x - Step 2: Convert to fraction form
103,740/146,802 = 146,802/x - Step 3: Cross multiply
103,740x = 146,802 × 146,802 - Step 4: Simplify right side
103,740x = 21,550,827,204 - Step 5: Solve for x
x = 21,550,827,204/103,740 - Step 6: Final answer
x = 207,738.84
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.