Finding the Third Proportional to 133,076 and 194,457
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Solution
The third proportional to 133,076 and 194,457 is: 284,149.85
Step by Step Solution
- Step 1: Write the proportion equation
133,076 : 194,457 = 194,457 : x - Step 2: Convert to fraction form
133,076/194,457 = 194,457/x - Step 3: Cross multiply
133,076x = 194,457 × 194,457 - Step 4: Simplify right side
133,076x = 37,813,524,849 - Step 5: Solve for x
x = 37,813,524,849/133,076 - Step 6: Final answer
x = 284,149.85
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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.