Finding the Third Proportional to 71,532 and 103,170
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Solution
The third proportional to 71,532 and 103,170 is: 148,801.22
Step by Step Solution
- Step 1: Write the proportion equation
71,532 : 103,170 = 103,170 : x - Step 2: Convert to fraction form
71,532/103,170 = 103,170/x - Step 3: Cross multiply
71,532x = 103,170 × 103,170 - Step 4: Simplify right side
71,532x = 10,644,048,900 - Step 5: Solve for x
x = 10,644,048,900/71,532 - Step 6: Final answer
x = 148,801.22
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.