Finding the Third Proportional to 75,414.16 and 156,048.19
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Solution
The third proportional to 75,414.16 and 156,048.19 is: 322,897.39
Step by Step Solution
- Step 1: Write the proportion equation
75,414.16 : 156,048.19 = 156,048.19 : x - Step 2: Convert to fraction form
75,414.16/156,048.19 = 156,048.19/x - Step 3: Cross multiply
75,414.16x = 156,048.19 × 156,048.19 - Step 4: Simplify right side
75,414.16x = 24,351,036,822.04 - Step 5: Solve for x
x = 24,351,036,822.04/75,414.16 - Step 6: Final answer
x = 322,897.39
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.