Finding the Third Proportional to 56,300 and 120,464
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Solution
The third proportional to 56,300 and 120,464 is: 257,754.45
Step by Step Solution
- Step 1: Write the proportion equation
56,300 : 120,464 = 120,464 : x - Step 2: Convert to fraction form
56,300/120,464 = 120,464/x - Step 3: Cross multiply
56,300x = 120,464 × 120,464 - Step 4: Simplify right side
56,300x = 14,511,575,296 - Step 5: Solve for x
x = 14,511,575,296/56,300 - Step 6: Final answer
x = 257,754.45
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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.