Finding the Third Proportional to 71,840 and 157,056
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Solution
The third proportional to 71,840 and 157,056 is: 343,354.50
Step by Step Solution
- Step 1: Write the proportion equation
71,840 : 157,056 = 157,056 : x - Step 2: Convert to fraction form
71,840/157,056 = 157,056/x - Step 3: Cross multiply
71,840x = 157,056 × 157,056 - Step 4: Simplify right side
71,840x = 24,666,587,136 - Step 5: Solve for x
x = 24,666,587,136/71,840 - Step 6: Final answer
x = 343,354.50
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.