Finding the Third Proportional to 34,206 and 73,878
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Solution
The third proportional to 34,206 and 73,878 is: 159,561.45
Step by Step Solution
- Step 1: Write the proportion equation
34,206 : 73,878 = 73,878 : x - Step 2: Convert to fraction form
34,206/73,878 = 73,878/x - Step 3: Cross multiply
34,206x = 73,878 × 73,878 - Step 4: Simplify right side
34,206x = 5,457,958,884 - Step 5: Solve for x
x = 5,457,958,884/34,206 - Step 6: Final answer
x = 159,561.45
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.