Finding the Third Proportional to 42,117 and 90,794
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Solution
The third proportional to 42,117 and 90,794 is: 195,729.76
Step by Step Solution
- Step 1: Write the proportion equation
42,117 : 90,794 = 90,794 : x - Step 2: Convert to fraction form
42,117/90,794 = 90,794/x - Step 3: Cross multiply
42,117x = 90,794 × 90,794 - Step 4: Simplify right side
42,117x = 8,243,550,436 - Step 5: Solve for x
x = 8,243,550,436/42,117 - Step 6: Final answer
x = 195,729.76
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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.