Finding the Third Proportional to 83,176 and 127,848
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Solution
The third proportional to 83,176 and 127,848 is: 196,512.35
Step by Step Solution
- Step 1: Write the proportion equation
83,176 : 127,848 = 127,848 : x - Step 2: Convert to fraction form
83,176/127,848 = 127,848/x - Step 3: Cross multiply
83,176x = 127,848 × 127,848 - Step 4: Simplify right side
83,176x = 16,345,111,104 - Step 5: Solve for x
x = 16,345,111,104/83,176 - Step 6: Final answer
x = 196,512.35
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.