Finding the Third Proportional to 53,500 and 82,796
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Solution
The third proportional to 53,500 and 82,796 is: 128,134.16
Step by Step Solution
- Step 1: Write the proportion equation
53,500 : 82,796 = 82,796 : x - Step 2: Convert to fraction form
53,500/82,796 = 82,796/x - Step 3: Cross multiply
53,500x = 82,796 × 82,796 - Step 4: Simplify right side
53,500x = 6,855,177,616 - Step 5: Solve for x
x = 6,855,177,616/53,500 - Step 6: Final answer
x = 128,134.16
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.