Finding the Third Proportional to 47,512 and 102,352
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Solution
The third proportional to 47,512 and 102,352 is: 220,490.23
Step by Step Solution
- Step 1: Write the proportion equation
47,512 : 102,352 = 102,352 : x - Step 2: Convert to fraction form
47,512/102,352 = 102,352/x - Step 3: Cross multiply
47,512x = 102,352 × 102,352 - Step 4: Simplify right side
47,512x = 10,475,931,904 - Step 5: Solve for x
x = 10,475,931,904/47,512 - Step 6: Final answer
x = 220,490.23
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.