Finding the Third Proportional to 100,563 and 149,105
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Solution
The third proportional to 100,563 and 149,105 is: 221,078.34
Step by Step Solution
- Step 1: Write the proportion equation
100,563 : 149,105 = 149,105 : x - Step 2: Convert to fraction form
100,563/149,105 = 149,105/x - Step 3: Cross multiply
100,563x = 149,105 × 149,105 - Step 4: Simplify right side
100,563x = 22,232,301,025 - Step 5: Solve for x
x = 22,232,301,025/100,563 - Step 6: Final answer
x = 221,078.34
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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.