Finding the Third Proportional to 125,846 and 196,423
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Solution
The third proportional to 125,846 and 196,423 is: 306,581.02
Step by Step Solution
- Step 1: Write the proportion equation
125,846 : 196,423 = 196,423 : x - Step 2: Convert to fraction form
125,846/196,423 = 196,423/x - Step 3: Cross multiply
125,846x = 196,423 × 196,423 - Step 4: Simplify right side
125,846x = 38,581,994,929 - Step 5: Solve for x
x = 38,581,994,929/125,846 - Step 6: Final answer
x = 306,581.02
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.