Finding the Third Proportional to 36,229.50 and 78,138
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Solution
The third proportional to 36,229.50 and 78,138 is: 168,524.19
Step by Step Solution
- Step 1: Write the proportion equation
36,229.50 : 78,138 = 78,138 : x - Step 2: Convert to fraction form
36,229.50/78,138 = 78,138/x - Step 3: Cross multiply
36,229.50x = 78,138 × 78,138 - Step 4: Simplify right side
36,229.50x = 6,105,547,044 - Step 5: Solve for x
x = 6,105,547,044/36,229.50 - Step 6: Final answer
x = 168,524.19
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.