Finding the Third Proportional to 54,562.50 and 84,096
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Solution
The third proportional to 54,562.50 and 84,096 is: 129,615.34
Step by Step Solution
- Step 1: Write the proportion equation
54,562.50 : 84,096 = 84,096 : x - Step 2: Convert to fraction form
54,562.50/84,096 = 84,096/x - Step 3: Cross multiply
54,562.50x = 84,096 × 84,096 - Step 4: Simplify right side
54,562.50x = 7,072,137,216 - Step 5: Solve for x
x = 7,072,137,216/54,562.50 - Step 6: Final answer
x = 129,615.34
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.