Finding the Third Proportional to 77,512 and 115,964
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Solution
The third proportional to 77,512 and 115,964 is: 173,491.19
Step by Step Solution
- Step 1: Write the proportion equation
77,512 : 115,964 = 115,964 : x - Step 2: Convert to fraction form
77,512/115,964 = 115,964/x - Step 3: Cross multiply
77,512x = 115,964 × 115,964 - Step 4: Simplify right side
77,512x = 13,447,649,296 - Step 5: Solve for x
x = 13,447,649,296/77,512 - Step 6: Final answer
x = 173,491.19
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.