Finding the Third Proportional to 71,260 and 112,832
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Solution
The third proportional to 71,260 and 112,832 is: 178,656.47
Step by Step Solution
- Step 1: Write the proportion equation
71,260 : 112,832 = 112,832 : x - Step 2: Convert to fraction form
71,260/112,832 = 112,832/x - Step 3: Cross multiply
71,260x = 112,832 × 112,832 - Step 4: Simplify right side
71,260x = 12,731,060,224 - Step 5: Solve for x
x = 12,731,060,224/71,260 - Step 6: Final answer
x = 178,656.47
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.