Finding the Third Proportional to 73,693.50 and 157,902
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Solution
The third proportional to 73,693.50 and 157,902 is: 338,334.34
Step by Step Solution
- Step 1: Write the proportion equation
73,693.50 : 157,902 = 157,902 : x - Step 2: Convert to fraction form
73,693.50/157,902 = 157,902/x - Step 3: Cross multiply
73,693.50x = 157,902 × 157,902 - Step 4: Simplify right side
73,693.50x = 24,933,041,604 - Step 5: Solve for x
x = 24,933,041,604/73,693.50 - Step 6: Final answer
x = 338,334.34
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.