Finding the Third Proportional to 55,777.50 and 78,016.50
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Solution
The third proportional to 55,777.50 and 78,016.50 is: 109,122.39
Step by Step Solution
- Step 1: Write the proportion equation
55,777.50 : 78,016.50 = 78,016.50 : x - Step 2: Convert to fraction form
55,777.50/78,016.50 = 78,016.50/x - Step 3: Cross multiply
55,777.50x = 78,016.50 × 78,016.50 - Step 4: Simplify right side
55,777.50x = 6,086,574,272.25 - Step 5: Solve for x
x = 6,086,574,272.25/55,777.50 - Step 6: Final answer
x = 109,122.39
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.