Finding the Third Proportional to 106,299.75 and 164,583.75
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Solution
The third proportional to 106,299.75 and 164,583.75 is: 254,824.78
Step by Step Solution
- Step 1: Write the proportion equation
106,299.75 : 164,583.75 = 164,583.75 : x - Step 2: Convert to fraction form
106,299.75/164,583.75 = 164,583.75/x - Step 3: Cross multiply
106,299.75x = 164,583.75 × 164,583.75 - Step 4: Simplify right side
106,299.75x = 27,087,810,764.06 - Step 5: Solve for x
x = 27,087,810,764.06/106,299.75 - Step 6: Final answer
x = 254,824.78
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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.