Finding the Third Proportional to 51,033 and 111,834
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Solution
The third proportional to 51,033 and 111,834 is: 245,073.65
Step by Step Solution
- Step 1: Write the proportion equation
51,033 : 111,834 = 111,834 : x - Step 2: Convert to fraction form
51,033/111,834 = 111,834/x - Step 3: Cross multiply
51,033x = 111,834 × 111,834 - Step 4: Simplify right side
51,033x = 12,506,843,556 - Step 5: Solve for x
x = 12,506,843,556/51,033 - Step 6: Final answer
x = 245,073.65
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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.