Finding the Third Proportional to 47,196 and 70,902
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Solution
The third proportional to 47,196 and 70,902 is: 106,515.25
Step by Step Solution
- Step 1: Write the proportion equation
47,196 : 70,902 = 70,902 : x - Step 2: Convert to fraction form
47,196/70,902 = 70,902/x - Step 3: Cross multiply
47,196x = 70,902 × 70,902 - Step 4: Simplify right side
47,196x = 5,027,093,604 - Step 5: Solve for x
x = 5,027,093,604/47,196 - Step 6: Final answer
x = 106,515.25
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.