Finding the Third Proportional to 78,028 and 117,816
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Solution
The third proportional to 78,028 and 117,816 is: 177,892.68
Step by Step Solution
- Step 1: Write the proportion equation
78,028 : 117,816 = 117,816 : x - Step 2: Convert to fraction form
78,028/117,816 = 117,816/x - Step 3: Cross multiply
78,028x = 117,816 × 117,816 - Step 4: Simplify right side
78,028x = 13,880,609,856 - Step 5: Solve for x
x = 13,880,609,856/78,028 - Step 6: Final answer
x = 177,892.68
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.