Finding the Third Proportional to 78,896 and 107,788
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Solution
The third proportional to 78,896 and 107,788 is: 147,260.35
Step by Step Solution
- Step 1: Write the proportion equation
78,896 : 107,788 = 107,788 : x - Step 2: Convert to fraction form
78,896/107,788 = 107,788/x - Step 3: Cross multiply
78,896x = 107,788 × 107,788 - Step 4: Simplify right side
78,896x = 11,618,252,944 - Step 5: Solve for x
x = 11,618,252,944/78,896 - Step 6: Final answer
x = 147,260.35
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.