Finding the Third Proportional to 72,105 and 98,922
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Solution
The third proportional to 72,105 and 98,922 is: 135,712.67
Step by Step Solution
- Step 1: Write the proportion equation
72,105 : 98,922 = 98,922 : x - Step 2: Convert to fraction form
72,105/98,922 = 98,922/x - Step 3: Cross multiply
72,105x = 98,922 × 98,922 - Step 4: Simplify right side
72,105x = 9,785,562,084 - Step 5: Solve for x
x = 9,785,562,084/72,105 - Step 6: Final answer
x = 135,712.67
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.