Finding the Third Proportional to 96,596 and 147,762
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Solution
The third proportional to 96,596 and 147,762 is: 226,030.15
Step by Step Solution
- Step 1: Write the proportion equation
96,596 : 147,762 = 147,762 : x - Step 2: Convert to fraction form
96,596/147,762 = 147,762/x - Step 3: Cross multiply
96,596x = 147,762 × 147,762 - Step 4: Simplify right side
96,596x = 21,833,608,644 - Step 5: Solve for x
x = 21,833,608,644/96,596 - Step 6: Final answer
x = 226,030.15
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.