Finding the Third Proportional to 54,286 and 84,047
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Solution
The third proportional to 54,286 and 84,047 is: 130,123.76
Step by Step Solution
- Step 1: Write the proportion equation
54,286 : 84,047 = 84,047 : x - Step 2: Convert to fraction form
54,286/84,047 = 84,047/x - Step 3: Cross multiply
54,286x = 84,047 × 84,047 - Step 4: Simplify right side
54,286x = 7,063,898,209 - Step 5: Solve for x
x = 7,063,898,209/54,286 - Step 6: Final answer
x = 130,123.76
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.