Finding the Third Proportional to 139,971 and 144,003
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Solution
The third proportional to 139,971 and 144,003 is: 148,151.15
Step by Step Solution
- Step 1: Write the proportion equation
139,971 : 144,003 = 144,003 : x - Step 2: Convert to fraction form
139,971/144,003 = 144,003/x - Step 3: Cross multiply
139,971x = 144,003 × 144,003 - Step 4: Simplify right side
139,971x = 20,736,864,009 - Step 5: Solve for x
x = 20,736,864,009/139,971 - Step 6: Final answer
x = 148,151.15
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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.