Finding the Third Proportional to 65,806.50 and 105,977.25
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Solution
The third proportional to 65,806.50 and 105,977.25 is: 170,669.73
Step by Step Solution
- Step 1: Write the proportion equation
65,806.50 : 105,977.25 = 105,977.25 : x - Step 2: Convert to fraction form
65,806.50/105,977.25 = 105,977.25/x - Step 3: Cross multiply
65,806.50x = 105,977.25 × 105,977.25 - Step 4: Simplify right side
65,806.50x = 11,231,177,517.56 - Step 5: Solve for x
x = 11,231,177,517.56/65,806.50 - Step 6: Final answer
x = 170,669.73
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.