Finding the Third Proportional to 72,983.50 and 157,962
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Solution
The third proportional to 72,983.50 and 157,962 is: 341,885.40
Step by Step Solution
- Step 1: Write the proportion equation
72,983.50 : 157,962 = 157,962 : x - Step 2: Convert to fraction form
72,983.50/157,962 = 157,962/x - Step 3: Cross multiply
72,983.50x = 157,962 × 157,962 - Step 4: Simplify right side
72,983.50x = 24,951,993,444 - Step 5: Solve for x
x = 24,951,993,444/72,983.50 - Step 6: Final answer
x = 341,885.40
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.