Finding the Third Proportional to 96,926 and 205,590
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Solution
The third proportional to 96,926 and 205,590 is: 436,077.50
Step by Step Solution
- Step 1: Write the proportion equation
96,926 : 205,590 = 205,590 : x - Step 2: Convert to fraction form
96,926/205,590 = 205,590/x - Step 3: Cross multiply
96,926x = 205,590 × 205,590 - Step 4: Simplify right side
96,926x = 42,267,248,100 - Step 5: Solve for x
x = 42,267,248,100/96,926 - Step 6: Final answer
x = 436,077.50
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.