Finding the Third Proportional to 76,523.25 and 162,309.75
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Solution
The third proportional to 76,523.25 and 162,309.75 is: 344,267.33
Step by Step Solution
- Step 1: Write the proportion equation
76,523.25 : 162,309.75 = 162,309.75 : x - Step 2: Convert to fraction form
76,523.25/162,309.75 = 162,309.75/x - Step 3: Cross multiply
76,523.25x = 162,309.75 × 162,309.75 - Step 4: Simplify right side
76,523.25x = 26,344,454,945.06 - Step 5: Solve for x
x = 26,344,454,945.06/76,523.25 - Step 6: Final answer
x = 344,267.33
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.