Finding the Third Proportional to 42,115.50 and 70,182
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Solution
The third proportional to 42,115.50 and 70,182 is: 116,952.50
Step by Step Solution
- Step 1: Write the proportion equation
42,115.50 : 70,182 = 70,182 : x - Step 2: Convert to fraction form
42,115.50/70,182 = 70,182/x - Step 3: Cross multiply
42,115.50x = 70,182 × 70,182 - Step 4: Simplify right side
42,115.50x = 4,925,513,124 - Step 5: Solve for x
x = 4,925,513,124/42,115.50 - Step 6: Final answer
x = 116,952.50
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Why These Related Problems?
These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.