Finding the Third Proportional to 70,986 and 109,899
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Solution
The third proportional to 70,986 and 109,899 is: 170,143.27
Step by Step Solution
- Step 1: Write the proportion equation
70,986 : 109,899 = 109,899 : x - Step 2: Convert to fraction form
70,986/109,899 = 109,899/x - Step 3: Cross multiply
70,986x = 109,899 × 109,899 - Step 4: Simplify right side
70,986x = 12,077,790,201 - Step 5: Solve for x
x = 12,077,790,201/70,986 - Step 6: Final answer
x = 170,143.27
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.