Finding the Third Proportional to 105,384.50 and 158,080
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Solution
The third proportional to 105,384.50 and 158,080 is: 237,124.88
Step by Step Solution
- Step 1: Write the proportion equation
105,384.50 : 158,080 = 158,080 : x - Step 2: Convert to fraction form
105,384.50/158,080 = 158,080/x - Step 3: Cross multiply
105,384.50x = 158,080 × 158,080 - Step 4: Simplify right side
105,384.50x = 24,989,286,400 - Step 5: Solve for x
x = 24,989,286,400/105,384.50 - Step 6: Final answer
x = 237,124.88
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.