Finding the Third Proportional to 82,275 and 120,294
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Solution
The third proportional to 82,275 and 120,294 is: 175,881.45
Step by Step Solution
- Step 1: Write the proportion equation
82,275 : 120,294 = 120,294 : x - Step 2: Convert to fraction form
82,275/120,294 = 120,294/x - Step 3: Cross multiply
82,275x = 120,294 × 120,294 - Step 4: Simplify right side
82,275x = 14,470,646,436 - Step 5: Solve for x
x = 14,470,646,436/82,275 - Step 6: Final answer
x = 175,881.45
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.