Finding the Third Proportional to 102,937.50 and 164,382.75
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Solution
The third proportional to 102,937.50 and 164,382.75 is: 262,505.78
Step by Step Solution
- Step 1: Write the proportion equation
102,937.50 : 164,382.75 = 164,382.75 : x - Step 2: Convert to fraction form
102,937.50/164,382.75 = 164,382.75/x - Step 3: Cross multiply
102,937.50x = 164,382.75 × 164,382.75 - Step 4: Simplify right side
102,937.50x = 27,021,688,497.56 - Step 5: Solve for x
x = 27,021,688,497.56/102,937.50 - Step 6: Final answer
x = 262,505.78
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.