Finding the Third Proportional to 65,973 and 144,042
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Solution
The third proportional to 65,973 and 144,042 is: 314,493.77
Step by Step Solution
- Step 1: Write the proportion equation
65,973 : 144,042 = 144,042 : x - Step 2: Convert to fraction form
65,973/144,042 = 144,042/x - Step 3: Cross multiply
65,973x = 144,042 × 144,042 - Step 4: Simplify right side
65,973x = 20,748,097,764 - Step 5: Solve for x
x = 20,748,097,764/65,973 - Step 6: Final answer
x = 314,493.77
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.