Finding the Third Proportional to 42,108 and 90,784
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Solution
The third proportional to 42,108 and 90,784 is: 195,728.48
Step by Step Solution
- Step 1: Write the proportion equation
42,108 : 90,784 = 90,784 : x - Step 2: Convert to fraction form
42,108/90,784 = 90,784/x - Step 3: Cross multiply
42,108x = 90,784 × 90,784 - Step 4: Simplify right side
42,108x = 8,241,734,656 - Step 5: Solve for x
x = 8,241,734,656/42,108 - Step 6: Final answer
x = 195,728.48
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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.