Finding the Third Proportional to 102,180 and 156,942
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Solution
The third proportional to 102,180 and 156,942 is: 241,052.96
Step by Step Solution
- Step 1: Write the proportion equation
102,180 : 156,942 = 156,942 : x - Step 2: Convert to fraction form
102,180/156,942 = 156,942/x - Step 3: Cross multiply
102,180x = 156,942 × 156,942 - Step 4: Simplify right side
102,180x = 24,630,791,364 - Step 5: Solve for x
x = 24,630,791,364/102,180 - Step 6: Final answer
x = 241,052.96
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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.