Finding the Third Proportional to 53,813 and 83,990
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Solution
The third proportional to 53,813 and 83,990 is: 131,089.52
Step by Step Solution
- Step 1: Write the proportion equation
53,813 : 83,990 = 83,990 : x - Step 2: Convert to fraction form
53,813/83,990 = 83,990/x - Step 3: Cross multiply
53,813x = 83,990 × 83,990 - Step 4: Simplify right side
53,813x = 7,054,320,100 - Step 5: Solve for x
x = 7,054,320,100/53,813 - Step 6: Final answer
x = 131,089.52
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.