Finding the Third Proportional to 42,105 and 67,099.50
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Solution
The third proportional to 42,105 and 67,099.50 is: 106,931.31
Step by Step Solution
- Step 1: Write the proportion equation
42,105 : 67,099.50 = 67,099.50 : x - Step 2: Convert to fraction form
42,105/67,099.50 = 67,099.50/x - Step 3: Cross multiply
42,105x = 67,099.50 × 67,099.50 - Step 4: Simplify right side
42,105x = 4,502,342,900.25 - Step 5: Solve for x
x = 4,502,342,900.25/42,105 - Step 6: Final answer
x = 106,931.31
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.