Finding the Third Proportional to 75,946.50 and 122,019.75
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Solution
The third proportional to 75,946.50 and 122,019.75 is: 196,043.52
Step by Step Solution
- Step 1: Write the proportion equation
75,946.50 : 122,019.75 = 122,019.75 : x - Step 2: Convert to fraction form
75,946.50/122,019.75 = 122,019.75/x - Step 3: Cross multiply
75,946.50x = 122,019.75 × 122,019.75 - Step 4: Simplify right side
75,946.50x = 14,888,819,390.06 - Step 5: Solve for x
x = 14,888,819,390.06/75,946.50 - Step 6: Final answer
x = 196,043.52
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.