Finding the Third Proportional to 81,444 and 122,004
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Solution
The third proportional to 81,444 and 122,004 is: 182,763.32
Step by Step Solution
- Step 1: Write the proportion equation
81,444 : 122,004 = 122,004 : x - Step 2: Convert to fraction form
81,444/122,004 = 122,004/x - Step 3: Cross multiply
81,444x = 122,004 × 122,004 - Step 4: Simplify right side
81,444x = 14,884,976,016 - Step 5: Solve for x
x = 14,884,976,016/81,444 - Step 6: Final answer
x = 182,763.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.