Finding the Third Proportional to 78,338 and 117,214
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Solution
The third proportional to 78,338 and 117,214 is: 175,382.60
Step by Step Solution
- Step 1: Write the proportion equation
78,338 : 117,214 = 117,214 : x - Step 2: Convert to fraction form
78,338/117,214 = 117,214/x - Step 3: Cross multiply
78,338x = 117,214 × 117,214 - Step 4: Simplify right side
78,338x = 13,739,121,796 - Step 5: Solve for x
x = 13,739,121,796/78,338 - Step 6: Final answer
x = 175,382.60
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.