Finding the Third Proportional to 102,735 and 150,546
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Solution
The third proportional to 102,735 and 150,546 is: 220,607.37
Step by Step Solution
- Step 1: Write the proportion equation
102,735 : 150,546 = 150,546 : x - Step 2: Convert to fraction form
102,735/150,546 = 150,546/x - Step 3: Cross multiply
102,735x = 150,546 × 150,546 - Step 4: Simplify right side
102,735x = 22,664,098,116 - Step 5: Solve for x
x = 22,664,098,116/102,735 - Step 6: Final answer
x = 220,607.37
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.