Finding the Third Proportional to 105,202 and 147,974
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Solution
The third proportional to 105,202 and 147,974 is: 208,135.82
Step by Step Solution
- Step 1: Write the proportion equation
105,202 : 147,974 = 147,974 : x - Step 2: Convert to fraction form
105,202/147,974 = 147,974/x - Step 3: Cross multiply
105,202x = 147,974 × 147,974 - Step 4: Simplify right side
105,202x = 21,896,304,676 - Step 5: Solve for x
x = 21,896,304,676/105,202 - Step 6: Final answer
x = 208,135.82
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.