Finding the Third Proportional to 67,020 and 103,842
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Solution
The third proportional to 67,020 and 103,842 is: 160,894.67
Step by Step Solution
- Step 1: Write the proportion equation
67,020 : 103,842 = 103,842 : x - Step 2: Convert to fraction form
67,020/103,842 = 103,842/x - Step 3: Cross multiply
67,020x = 103,842 × 103,842 - Step 4: Simplify right side
67,020x = 10,783,160,964 - Step 5: Solve for x
x = 10,783,160,964/67,020 - Step 6: Final answer
x = 160,894.67
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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.