Finding the Third Proportional to 85,692 and 184,542
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Solution
The third proportional to 85,692 and 184,542 is: 397,420.41
Step by Step Solution
- Step 1: Write the proportion equation
85,692 : 184,542 = 184,542 : x - Step 2: Convert to fraction form
85,692/184,542 = 184,542/x - Step 3: Cross multiply
85,692x = 184,542 × 184,542 - Step 4: Simplify right side
85,692x = 34,055,749,764 - Step 5: Solve for x
x = 34,055,749,764/85,692 - Step 6: Final answer
x = 397,420.41
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.