Finding the Third Proportional to 67,882.50 and 105,004
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Solution
The third proportional to 67,882.50 and 105,004 is: 162,425.37
Step by Step Solution
- Step 1: Write the proportion equation
67,882.50 : 105,004 = 105,004 : x - Step 2: Convert to fraction form
67,882.50/105,004 = 105,004/x - Step 3: Cross multiply
67,882.50x = 105,004 × 105,004 - Step 4: Simplify right side
67,882.50x = 11,025,840,016 - Step 5: Solve for x
x = 11,025,840,016/67,882.50 - Step 6: Final answer
x = 162,425.37
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.