Finding the Third Proportional to 75,764 and 115,953
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Solution
The third proportional to 75,764 and 115,953 is: 177,460.25
Step by Step Solution
- Step 1: Write the proportion equation
75,764 : 115,953 = 115,953 : x - Step 2: Convert to fraction form
75,764/115,953 = 115,953/x - Step 3: Cross multiply
75,764x = 115,953 × 115,953 - Step 4: Simplify right side
75,764x = 13,445,098,209 - Step 5: Solve for x
x = 13,445,098,209/75,764 - Step 6: Final answer
x = 177,460.25
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.