Finding the Third Proportional to 68,084 and 99,837
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Solution
The third proportional to 68,084 and 99,837 is: 146,398.96
Step by Step Solution
- Step 1: Write the proportion equation
68,084 : 99,837 = 99,837 : x - Step 2: Convert to fraction form
68,084/99,837 = 99,837/x - Step 3: Cross multiply
68,084x = 99,837 × 99,837 - Step 4: Simplify right side
68,084x = 9,967,426,569 - Step 5: Solve for x
x = 9,967,426,569/68,084 - Step 6: Final answer
x = 146,398.96
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.