Finding the Third Proportional to 106,517.53 and 232,102.13
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Solution
The third proportional to 106,517.53 and 232,102.13 is: 505,751.46
Step by Step Solution
- Step 1: Write the proportion equation
106,517.53 : 232,102.13 = 232,102.13 : x - Step 2: Convert to fraction form
106,517.53/232,102.13 = 232,102.13/x - Step 3: Cross multiply
106,517.53x = 232,102.13 × 232,102.13 - Step 4: Simplify right side
106,517.53x = 53,871,396,429.52 - Step 5: Solve for x
x = 53,871,396,429.52/106,517.53 - Step 6: Final answer
x = 505,751.46
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.