Finding the Third Proportional to 101,971 and 143,342
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Solution
The third proportional to 101,971 and 143,342 is: 201,497.77
Step by Step Solution
- Step 1: Write the proportion equation
101,971 : 143,342 = 143,342 : x - Step 2: Convert to fraction form
101,971/143,342 = 143,342/x - Step 3: Cross multiply
101,971x = 143,342 × 143,342 - Step 4: Simplify right side
101,971x = 20,546,928,964 - Step 5: Solve for x
x = 20,546,928,964/101,971 - Step 6: Final answer
x = 201,497.77
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.