Finding the Third Proportional to 71,788 and 102,760
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Solution
The third proportional to 71,788 and 102,760 is: 147,094.47
Step by Step Solution
- Step 1: Write the proportion equation
71,788 : 102,760 = 102,760 : x - Step 2: Convert to fraction form
71,788/102,760 = 102,760/x - Step 3: Cross multiply
71,788x = 102,760 × 102,760 - Step 4: Simplify right side
71,788x = 10,559,617,600 - Step 5: Solve for x
x = 10,559,617,600/71,788 - Step 6: Final answer
x = 147,094.47
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.