Finding the Third Proportional to 42,744 and 67,158
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Solution
The third proportional to 42,744 and 67,158 is: 105,516.49
Step by Step Solution
- Step 1: Write the proportion equation
42,744 : 67,158 = 67,158 : x - Step 2: Convert to fraction form
42,744/67,158 = 67,158/x - Step 3: Cross multiply
42,744x = 67,158 × 67,158 - Step 4: Simplify right side
42,744x = 4,510,196,964 - Step 5: Solve for x
x = 4,510,196,964/42,744 - Step 6: Final answer
x = 105,516.49
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.