Finding the Third Proportional to 71,440 and 152,722
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Solution
The third proportional to 71,440 and 152,722 is: 326,483.89
Step by Step Solution
- Step 1: Write the proportion equation
71,440 : 152,722 = 152,722 : x - Step 2: Convert to fraction form
71,440/152,722 = 152,722/x - Step 3: Cross multiply
71,440x = 152,722 × 152,722 - Step 4: Simplify right side
71,440x = 23,324,009,284 - Step 5: Solve for x
x = 23,324,009,284/71,440 - Step 6: Final answer
x = 326,483.89
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.