Finding the Third Proportional to 53,221.50 and 113,670
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Solution
The third proportional to 53,221.50 and 113,670 is: 242,775.36
Step by Step Solution
- Step 1: Write the proportion equation
53,221.50 : 113,670 = 113,670 : x - Step 2: Convert to fraction form
53,221.50/113,670 = 113,670/x - Step 3: Cross multiply
53,221.50x = 113,670 × 113,670 - Step 4: Simplify right side
53,221.50x = 12,920,868,900 - Step 5: Solve for x
x = 12,920,868,900/53,221.50 - Step 6: Final answer
x = 242,775.36
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.