Finding the Third Proportional to 122,367.50 and 172,323
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Solution
The third proportional to 122,367.50 and 172,323 is: 242,672.41
Step by Step Solution
- Step 1: Write the proportion equation
122,367.50 : 172,323 = 172,323 : x - Step 2: Convert to fraction form
122,367.50/172,323 = 172,323/x - Step 3: Cross multiply
122,367.50x = 172,323 × 172,323 - Step 4: Simplify right side
122,367.50x = 29,695,216,329 - Step 5: Solve for x
x = 29,695,216,329/122,367.50 - Step 6: Final answer
x = 242,672.41
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.