Finding the Third Proportional to 68,128 and 105,734
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Solution
The third proportional to 68,128 and 105,734 is: 164,098.15
Step by Step Solution
- Step 1: Write the proportion equation
68,128 : 105,734 = 105,734 : x - Step 2: Convert to fraction form
68,128/105,734 = 105,734/x - Step 3: Cross multiply
68,128x = 105,734 × 105,734 - Step 4: Simplify right side
68,128x = 11,179,678,756 - Step 5: Solve for x
x = 11,179,678,756/68,128 - Step 6: Final answer
x = 164,098.15
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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.