Finding the Third Proportional to 56,056 and 78,494
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Solution
The third proportional to 56,056 and 78,494 is: 109,913.44
Step by Step Solution
- Step 1: Write the proportion equation
56,056 : 78,494 = 78,494 : x - Step 2: Convert to fraction form
56,056/78,494 = 78,494/x - Step 3: Cross multiply
56,056x = 78,494 × 78,494 - Step 4: Simplify right side
56,056x = 6,161,308,036 - Step 5: Solve for x
x = 6,161,308,036/56,056 - Step 6: Final answer
x = 109,913.44
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.