Finding the Third Proportional to 83,882 and 122,363
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Solution
The third proportional to 83,882 and 122,363 is: 178,497.22
Step by Step Solution
- Step 1: Write the proportion equation
83,882 : 122,363 = 122,363 : x - Step 2: Convert to fraction form
83,882/122,363 = 122,363/x - Step 3: Cross multiply
83,882x = 122,363 × 122,363 - Step 4: Simplify right side
83,882x = 14,972,703,769 - Step 5: Solve for x
x = 14,972,703,769/83,882 - Step 6: Final answer
x = 178,497.22
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.