Finding the Third Proportional to 105,708 and 143,982
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Solution
The third proportional to 105,708 and 143,982 is: 196,113.98
Step by Step Solution
- Step 1: Write the proportion equation
105,708 : 143,982 = 143,982 : x - Step 2: Convert to fraction form
105,708/143,982 = 143,982/x - Step 3: Cross multiply
105,708x = 143,982 × 143,982 - Step 4: Simplify right side
105,708x = 20,730,816,324 - Step 5: Solve for x
x = 20,730,816,324/105,708 - Step 6: Final answer
x = 196,113.98
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.