Finding the Third Proportional to 100,967 and 149,496
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Solution
The third proportional to 100,967 and 149,496 is: 221,350.08
Step by Step Solution
- Step 1: Write the proportion equation
100,967 : 149,496 = 149,496 : x - Step 2: Convert to fraction form
100,967/149,496 = 149,496/x - Step 3: Cross multiply
100,967x = 149,496 × 149,496 - Step 4: Simplify right side
100,967x = 22,349,054,016 - Step 5: Solve for x
x = 22,349,054,016/100,967 - Step 6: Final answer
x = 221,350.08
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.