Finding the Third Proportional to 103,734 and 164,673
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Solution
The third proportional to 103,734 and 164,673 is: 261,410.89
Step by Step Solution
- Step 1: Write the proportion equation
103,734 : 164,673 = 164,673 : x - Step 2: Convert to fraction form
103,734/164,673 = 164,673/x - Step 3: Cross multiply
103,734x = 164,673 × 164,673 - Step 4: Simplify right side
103,734x = 27,117,196,929 - Step 5: Solve for x
x = 27,117,196,929/103,734 - Step 6: Final answer
x = 261,410.89
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.