Finding the Third Proportional to 67,724 and 146,748
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Solution
The third proportional to 67,724 and 146,748 is: 317,981.45
Step by Step Solution
- Step 1: Write the proportion equation
67,724 : 146,748 = 146,748 : x - Step 2: Convert to fraction form
67,724/146,748 = 146,748/x - Step 3: Cross multiply
67,724x = 146,748 × 146,748 - Step 4: Simplify right side
67,724x = 21,534,975,504 - Step 5: Solve for x
x = 21,534,975,504/67,724 - Step 6: Final answer
x = 317,981.45
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.