Finding the Third Proportional to 49,201.75 and 78,327.75
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Solution
The third proportional to 49,201.75 and 78,327.75 is: 124,695.49
Step by Step Solution
- Step 1: Write the proportion equation
49,201.75 : 78,327.75 = 78,327.75 : x - Step 2: Convert to fraction form
49,201.75/78,327.75 = 78,327.75/x - Step 3: Cross multiply
49,201.75x = 78,327.75 × 78,327.75 - Step 4: Simplify right side
49,201.75x = 6,135,236,420.06 - Step 5: Solve for x
x = 6,135,236,420.06/49,201.75 - Step 6: Final answer
x = 124,695.49
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.