Finding the Third Proportional to 46,758 and 102,576
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Solution
The third proportional to 46,758 and 102,576 is: 225,027.50
Step by Step Solution
- Step 1: Write the proportion equation
46,758 : 102,576 = 102,576 : x - Step 2: Convert to fraction form
46,758/102,576 = 102,576/x - Step 3: Cross multiply
46,758x = 102,576 × 102,576 - Step 4: Simplify right side
46,758x = 10,521,835,776 - Step 5: Solve for x
x = 10,521,835,776/46,758 - Step 6: Final answer
x = 225,027.50
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.