Finding the Third Proportional to 42,363 and 98,494
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Solution
The third proportional to 42,363 and 98,494 is: 228,998.61
Step by Step Solution
- Step 1: Write the proportion equation
42,363 : 98,494 = 98,494 : x - Step 2: Convert to fraction form
42,363/98,494 = 98,494/x - Step 3: Cross multiply
42,363x = 98,494 × 98,494 - Step 4: Simplify right side
42,363x = 9,701,068,036 - Step 5: Solve for x
x = 9,701,068,036/42,363 - Step 6: Final answer
x = 228,998.61
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.