Finding the Third Proportional to 50,842 and 77,776
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Solution
The third proportional to 50,842 and 77,776 is: 118,978.53
Step by Step Solution
- Step 1: Write the proportion equation
50,842 : 77,776 = 77,776 : x - Step 2: Convert to fraction form
50,842/77,776 = 77,776/x - Step 3: Cross multiply
50,842x = 77,776 × 77,776 - Step 4: Simplify right side
50,842x = 6,049,106,176 - Step 5: Solve for x
x = 6,049,106,176/50,842 - Step 6: Final answer
x = 118,978.53
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.