Finding the Third Proportional to 53,012.25 and 115,233.75
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Solution
The third proportional to 53,012.25 and 115,233.75 is: 250,485.82
Step by Step Solution
- Step 1: Write the proportion equation
53,012.25 : 115,233.75 = 115,233.75 : x - Step 2: Convert to fraction form
53,012.25/115,233.75 = 115,233.75/x - Step 3: Cross multiply
53,012.25x = 115,233.75 × 115,233.75 - Step 4: Simplify right side
53,012.25x = 13,278,817,139.06 - Step 5: Solve for x
x = 13,278,817,139.06/53,012.25 - Step 6: Final answer
x = 250,485.82
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.