Finding the Third Proportional to 54,116 and 83,226
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Solution
The third proportional to 54,116 and 83,226 is: 127,994.81
Step by Step Solution
- Step 1: Write the proportion equation
54,116 : 83,226 = 83,226 : x - Step 2: Convert to fraction form
54,116/83,226 = 83,226/x - Step 3: Cross multiply
54,116x = 83,226 × 83,226 - Step 4: Simplify right side
54,116x = 6,926,567,076 - Step 5: Solve for x
x = 6,926,567,076/54,116 - Step 6: Final answer
x = 127,994.81
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.