Finding the Third Proportional to 76,472 and 164,664
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Solution
The third proportional to 76,472 and 164,664 is: 354,564.19
Step by Step Solution
- Step 1: Write the proportion equation
76,472 : 164,664 = 164,664 : x - Step 2: Convert to fraction form
76,472/164,664 = 164,664/x - Step 3: Cross multiply
76,472x = 164,664 × 164,664 - Step 4: Simplify right side
76,472x = 27,114,232,896 - Step 5: Solve for x
x = 27,114,232,896/76,472 - Step 6: Final answer
x = 354,564.19
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.