Finding the Third Proportional to 123,097 and 184,435
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Solution
The third proportional to 123,097 and 184,435 is: 276,337.11
Step by Step Solution
- Step 1: Write the proportion equation
123,097 : 184,435 = 184,435 : x - Step 2: Convert to fraction form
123,097/184,435 = 184,435/x - Step 3: Cross multiply
123,097x = 184,435 × 184,435 - Step 4: Simplify right side
123,097x = 34,016,269,225 - Step 5: Solve for x
x = 34,016,269,225/123,097 - Step 6: Final answer
x = 276,337.11
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.