Finding the Third Proportional to 123,056 and 189,778
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Solution
The third proportional to 123,056 and 189,778 is: 292,677.23
Step by Step Solution
- Step 1: Write the proportion equation
123,056 : 189,778 = 189,778 : x - Step 2: Convert to fraction form
123,056/189,778 = 189,778/x - Step 3: Cross multiply
123,056x = 189,778 × 189,778 - Step 4: Simplify right side
123,056x = 36,015,689,284 - Step 5: Solve for x
x = 36,015,689,284/123,056 - Step 6: Final answer
x = 292,677.23
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.