Finding the Third Proportional to 77,234.50 and 123,346
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Solution
The third proportional to 77,234.50 and 123,346 is: 196,987.56
Step by Step Solution
- Step 1: Write the proportion equation
77,234.50 : 123,346 = 123,346 : x - Step 2: Convert to fraction form
77,234.50/123,346 = 123,346/x - Step 3: Cross multiply
77,234.50x = 123,346 × 123,346 - Step 4: Simplify right side
77,234.50x = 15,214,235,716 - Step 5: Solve for x
x = 15,214,235,716/77,234.50 - Step 6: Final answer
x = 196,987.56
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.