Finding the Third Proportional to 49,498 and 100,719
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Solution
The third proportional to 49,498 and 100,719 is: 204,943.98
Step by Step Solution
- Step 1: Write the proportion equation
49,498 : 100,719 = 100,719 : x - Step 2: Convert to fraction form
49,498/100,719 = 100,719/x - Step 3: Cross multiply
49,498x = 100,719 × 100,719 - Step 4: Simplify right side
49,498x = 10,144,316,961 - Step 5: Solve for x
x = 10,144,316,961/49,498 - Step 6: Final answer
x = 204,943.98
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.