Finding the Third Proportional to 86,948 and 138,204
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Solution
The third proportional to 86,948 and 138,204 is: 219,675.50
Step by Step Solution
- Step 1: Write the proportion equation
86,948 : 138,204 = 138,204 : x - Step 2: Convert to fraction form
86,948/138,204 = 138,204/x - Step 3: Cross multiply
86,948x = 138,204 × 138,204 - Step 4: Simplify right side
86,948x = 19,100,345,616 - Step 5: Solve for x
x = 19,100,345,616/86,948 - Step 6: Final answer
x = 219,675.50
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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.