Finding the Third Proportional to 78,486 and 111,809
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Solution
The third proportional to 78,486 and 111,809 is: 159,280.03
Step by Step Solution
- Step 1: Write the proportion equation
78,486 : 111,809 = 111,809 : x - Step 2: Convert to fraction form
78,486/111,809 = 111,809/x - Step 3: Cross multiply
78,486x = 111,809 × 111,809 - Step 4: Simplify right side
78,486x = 12,501,252,481 - Step 5: Solve for x
x = 12,501,252,481/78,486 - Step 6: Final answer
x = 159,280.03
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.