Finding the Third Proportional to 31,122 and 68,291
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Solution
The third proportional to 31,122 and 68,291 is: 149,850.93
Step by Step Solution
- Step 1: Write the proportion equation
31,122 : 68,291 = 68,291 : x - Step 2: Convert to fraction form
31,122/68,291 = 68,291/x - Step 3: Cross multiply
31,122x = 68,291 × 68,291 - Step 4: Simplify right side
31,122x = 4,663,660,681 - Step 5: Solve for x
x = 4,663,660,681/31,122 - Step 6: Final answer
x = 149,850.93
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.