Finding the Third Proportional to 55,424 and 121,216
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Solution
The third proportional to 55,424 and 121,216 is: 265,107.51
Step by Step Solution
- Step 1: Write the proportion equation
55,424 : 121,216 = 121,216 : x - Step 2: Convert to fraction form
55,424/121,216 = 121,216/x - Step 3: Cross multiply
55,424x = 121,216 × 121,216 - Step 4: Simplify right side
55,424x = 14,693,318,656 - Step 5: Solve for x
x = 14,693,318,656/55,424 - Step 6: Final answer
x = 265,107.51
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.