Finding the Third Proportional to 52,322 and 78,274
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Solution
The third proportional to 52,322 and 78,274 is: 117,098.33
Step by Step Solution
- Step 1: Write the proportion equation
52,322 : 78,274 = 78,274 : x - Step 2: Convert to fraction form
52,322/78,274 = 78,274/x - Step 3: Cross multiply
52,322x = 78,274 × 78,274 - Step 4: Simplify right side
52,322x = 6,126,819,076 - Step 5: Solve for x
x = 6,126,819,076/52,322 - Step 6: Final answer
x = 117,098.33
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.