Finding the Third Proportional to 53,410 and 114,860
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Solution
The third proportional to 53,410 and 114,860 is: 247,010.29
Step by Step Solution
- Step 1: Write the proportion equation
53,410 : 114,860 = 114,860 : x - Step 2: Convert to fraction form
53,410/114,860 = 114,860/x - Step 3: Cross multiply
53,410x = 114,860 × 114,860 - Step 4: Simplify right side
53,410x = 13,192,819,600 - Step 5: Solve for x
x = 13,192,819,600/53,410 - Step 6: Final answer
x = 247,010.29
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.