Finding the Third Proportional to 87,700 and 189,414
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Solution
The third proportional to 87,700 and 189,414 is: 409,095.36
Step by Step Solution
- Step 1: Write the proportion equation
87,700 : 189,414 = 189,414 : x - Step 2: Convert to fraction form
87,700/189,414 = 189,414/x - Step 3: Cross multiply
87,700x = 189,414 × 189,414 - Step 4: Simplify right side
87,700x = 35,877,663,396 - Step 5: Solve for x
x = 35,877,663,396/87,700 - Step 6: Final answer
x = 409,095.36
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.