Finding the Third Proportional to 70,077.50 and 105,954
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Solution
The third proportional to 70,077.50 and 105,954 is: 160,197.64
Step by Step Solution
- Step 1: Write the proportion equation
70,077.50 : 105,954 = 105,954 : x - Step 2: Convert to fraction form
70,077.50/105,954 = 105,954/x - Step 3: Cross multiply
70,077.50x = 105,954 × 105,954 - Step 4: Simplify right side
70,077.50x = 11,226,250,116 - Step 5: Solve for x
x = 11,226,250,116/70,077.50 - Step 6: Final answer
x = 160,197.64
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.