Finding the Third Proportional to 102,026 and 155,296
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Solution
The third proportional to 102,026 and 155,296 is: 236,379.43
Step by Step Solution
- Step 1: Write the proportion equation
102,026 : 155,296 = 155,296 : x - Step 2: Convert to fraction form
102,026/155,296 = 155,296/x - Step 3: Cross multiply
102,026x = 155,296 × 155,296 - Step 4: Simplify right side
102,026x = 24,116,847,616 - Step 5: Solve for x
x = 24,116,847,616/102,026 - Step 6: Final answer
x = 236,379.43
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.