Finding the Third Proportional to 65,542 and 98,638
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Solution
The third proportional to 65,542 and 98,638 is: 148,446.11
Step by Step Solution
- Step 1: Write the proportion equation
65,542 : 98,638 = 98,638 : x - Step 2: Convert to fraction form
65,542/98,638 = 98,638/x - Step 3: Cross multiply
65,542x = 98,638 × 98,638 - Step 4: Simplify right side
65,542x = 9,729,455,044 - Step 5: Solve for x
x = 9,729,455,044/65,542 - Step 6: Final answer
x = 148,446.11
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.