Finding the Third Proportional to 51,734.50 and 113,630
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Solution
The third proportional to 51,734.50 and 113,630 is: 249,577.69
Step by Step Solution
- Step 1: Write the proportion equation
51,734.50 : 113,630 = 113,630 : x - Step 2: Convert to fraction form
51,734.50/113,630 = 113,630/x - Step 3: Cross multiply
51,734.50x = 113,630 × 113,630 - Step 4: Simplify right side
51,734.50x = 12,911,776,900 - Step 5: Solve for x
x = 12,911,776,900/51,734.50 - Step 6: Final answer
x = 249,577.69
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.