Finding the Third Proportional to 71,942.50 and 106,518
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Solution
The third proportional to 71,942.50 and 106,518 is: 157,710.45
Step by Step Solution
- Step 1: Write the proportion equation
71,942.50 : 106,518 = 106,518 : x - Step 2: Convert to fraction form
71,942.50/106,518 = 106,518/x - Step 3: Cross multiply
71,942.50x = 106,518 × 106,518 - Step 4: Simplify right side
71,942.50x = 11,346,084,324 - Step 5: Solve for x
x = 11,346,084,324/71,942.50 - Step 6: Final answer
x = 157,710.45
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.