Finding the Third Proportional to 65,423 and 103,763
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Solution
The third proportional to 65,423 and 103,763 is: 164,571.48
Step by Step Solution
- Step 1: Write the proportion equation
65,423 : 103,763 = 103,763 : x - Step 2: Convert to fraction form
65,423/103,763 = 103,763/x - Step 3: Cross multiply
65,423x = 103,763 × 103,763 - Step 4: Simplify right side
65,423x = 10,766,760,169 - Step 5: Solve for x
x = 10,766,760,169/65,423 - Step 6: Final answer
x = 164,571.48
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.