Finding the Third Proportional to 65,703 and 83,200
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Solution
The third proportional to 65,703 and 83,200 is: 105,356.53
Step by Step Solution
- Step 1: Write the proportion equation
65,703 : 83,200 = 83,200 : x - Step 2: Convert to fraction form
65,703/83,200 = 83,200/x - Step 3: Cross multiply
65,703x = 83,200 × 83,200 - Step 4: Simplify right side
65,703x = 6,922,240,000 - Step 5: Solve for x
x = 6,922,240,000/65,703 - Step 6: Final answer
x = 105,356.53
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.