Finding the Third Proportional to 54,786 and 78,291
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Solution
The third proportional to 54,786 and 78,291 is: 111,880.42
Step by Step Solution
- Step 1: Write the proportion equation
54,786 : 78,291 = 78,291 : x - Step 2: Convert to fraction form
54,786/78,291 = 78,291/x - Step 3: Cross multiply
54,786x = 78,291 × 78,291 - Step 4: Simplify right side
54,786x = 6,129,480,681 - Step 5: Solve for x
x = 6,129,480,681/54,786 - Step 6: Final answer
x = 111,880.42
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.