Finding the Third Proportional to 51,204 and 109,032
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Solution
The third proportional to 51,204 and 109,032 is: 232,168.91
Step by Step Solution
- Step 1: Write the proportion equation
51,204 : 109,032 = 109,032 : x - Step 2: Convert to fraction form
51,204/109,032 = 109,032/x - Step 3: Cross multiply
51,204x = 109,032 × 109,032 - Step 4: Simplify right side
51,204x = 11,887,977,024 - Step 5: Solve for x
x = 11,887,977,024/51,204 - Step 6: Final answer
x = 232,168.91
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.