Finding the Third Proportional to 42,400 and 92,090
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Solution
The third proportional to 42,400 and 92,090 is: 200,013.40
Step by Step Solution
- Step 1: Write the proportion equation
42,400 : 92,090 = 92,090 : x - Step 2: Convert to fraction form
42,400/92,090 = 92,090/x - Step 3: Cross multiply
42,400x = 92,090 × 92,090 - Step 4: Simplify right side
42,400x = 8,480,568,100 - Step 5: Solve for x
x = 8,480,568,100/42,400 - Step 6: Final answer
x = 200,013.40
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.