Finding the Third Proportional to 106,224 and 154,953
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Solution
The third proportional to 106,224 and 154,953 is: 226,035.85
Step by Step Solution
- Step 1: Write the proportion equation
106,224 : 154,953 = 154,953 : x - Step 2: Convert to fraction form
106,224/154,953 = 154,953/x - Step 3: Cross multiply
106,224x = 154,953 × 154,953 - Step 4: Simplify right side
106,224x = 24,010,432,209 - Step 5: Solve for x
x = 24,010,432,209/106,224 - Step 6: Final answer
x = 226,035.85
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.