Finding the Third Proportional to 67,388 and 105,706
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Solution
The third proportional to 67,388 and 105,706 is: 165,812.29
Step by Step Solution
- Step 1: Write the proportion equation
67,388 : 105,706 = 105,706 : x - Step 2: Convert to fraction form
67,388/105,706 = 105,706/x - Step 3: Cross multiply
67,388x = 105,706 × 105,706 - Step 4: Simplify right side
67,388x = 11,173,758,436 - Step 5: Solve for x
x = 11,173,758,436/67,388 - Step 6: Final answer
x = 165,812.29
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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.