Finding the Third Proportional to 86,116 and 189,272
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Solution
The third proportional to 86,116 and 189,272 is: 415,995.75
Step by Step Solution
- Step 1: Write the proportion equation
86,116 : 189,272 = 189,272 : x - Step 2: Convert to fraction form
86,116/189,272 = 189,272/x - Step 3: Cross multiply
86,116x = 189,272 × 189,272 - Step 4: Simplify right side
86,116x = 35,823,889,984 - Step 5: Solve for x
x = 35,823,889,984/86,116 - Step 6: Final answer
x = 415,995.75
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.