Finding the Third Proportional to 68,264 and 105,948
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Solution
The third proportional to 68,264 and 105,948 is: 164,434.82
Step by Step Solution
- Step 1: Write the proportion equation
68,264 : 105,948 = 105,948 : x - Step 2: Convert to fraction form
68,264/105,948 = 105,948/x - Step 3: Cross multiply
68,264x = 105,948 × 105,948 - Step 4: Simplify right side
68,264x = 11,224,978,704 - Step 5: Solve for x
x = 11,224,978,704/68,264 - Step 6: Final answer
x = 164,434.82
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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.