Finding the Third Proportional to 65,685 and 136,041
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Solution
The third proportional to 65,685 and 136,041 is: 281,756.16
Step by Step Solution
- Step 1: Write the proportion equation
65,685 : 136,041 = 136,041 : x - Step 2: Convert to fraction form
65,685/136,041 = 136,041/x - Step 3: Cross multiply
65,685x = 136,041 × 136,041 - Step 4: Simplify right side
65,685x = 18,507,153,681 - Step 5: Solve for x
x = 18,507,153,681/65,685 - Step 6: Final answer
x = 281,756.16
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.