Finding the Third Proportional to 106,686 and 155,643
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Solution
The third proportional to 106,686 and 155,643 is: 227,065.81
Step by Step Solution
- Step 1: Write the proportion equation
106,686 : 155,643 = 155,643 : x - Step 2: Convert to fraction form
106,686/155,643 = 155,643/x - Step 3: Cross multiply
106,686x = 155,643 × 155,643 - Step 4: Simplify right side
106,686x = 24,224,743,449 - Step 5: Solve for x
x = 24,224,743,449/106,686 - Step 6: Final answer
x = 227,065.81
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.