Finding the Third Proportional to 106,500 and 161,694
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Solution
The third proportional to 106,500 and 161,694 is: 245,492.48
Step by Step Solution
- Step 1: Write the proportion equation
106,500 : 161,694 = 161,694 : x - Step 2: Convert to fraction form
106,500/161,694 = 161,694/x - Step 3: Cross multiply
106,500x = 161,694 × 161,694 - Step 4: Simplify right side
106,500x = 26,144,949,636 - Step 5: Solve for x
x = 26,144,949,636/106,500 - Step 6: Final answer
x = 245,492.48
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.