Finding the Third Proportional to 65,137.50 and 141,939
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Solution
The third proportional to 65,137.50 and 141,939 is: 309,294.64
Step by Step Solution
- Step 1: Write the proportion equation
65,137.50 : 141,939 = 141,939 : x - Step 2: Convert to fraction form
65,137.50/141,939 = 141,939/x - Step 3: Cross multiply
65,137.50x = 141,939 × 141,939 - Step 4: Simplify right side
65,137.50x = 20,146,679,721 - Step 5: Solve for x
x = 20,146,679,721/65,137.50 - Step 6: Final answer
x = 309,294.64
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.