Finding the Third Proportional to 51,920 and 109,024
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Solution
The third proportional to 51,920 and 109,024 is: 228,933.60
Step by Step Solution
- Step 1: Write the proportion equation
51,920 : 109,024 = 109,024 : x - Step 2: Convert to fraction form
51,920/109,024 = 109,024/x - Step 3: Cross multiply
51,920x = 109,024 × 109,024 - Step 4: Simplify right side
51,920x = 11,886,232,576 - Step 5: Solve for x
x = 11,886,232,576/51,920 - Step 6: Final answer
x = 228,933.60
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.