Finding the Third Proportional to 70,608 and 102,012
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Solution
The third proportional to 70,608 and 102,012 is: 147,383.41
Step by Step Solution
- Step 1: Write the proportion equation
70,608 : 102,012 = 102,012 : x - Step 2: Convert to fraction form
70,608/102,012 = 102,012/x - Step 3: Cross multiply
70,608x = 102,012 × 102,012 - Step 4: Simplify right side
70,608x = 10,406,448,144 - Step 5: Solve for x
x = 10,406,448,144/70,608 - Step 6: Final answer
x = 147,383.41
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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.