Finding the Third Proportional to 76,624 and 117,748
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Solution
The third proportional to 76,624 and 117,748 is: 180,943.20
Step by Step Solution
- Step 1: Write the proportion equation
76,624 : 117,748 = 117,748 : x - Step 2: Convert to fraction form
76,624/117,748 = 117,748/x - Step 3: Cross multiply
76,624x = 117,748 × 117,748 - Step 4: Simplify right side
76,624x = 13,864,591,504 - Step 5: Solve for x
x = 13,864,591,504/76,624 - Step 6: Final answer
x = 180,943.20
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.