Finding the Third Proportional to 77,692 and 169,964
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Solution
The third proportional to 77,692 and 169,964 is: 371,824.14
Step by Step Solution
- Step 1: Write the proportion equation
77,692 : 169,964 = 169,964 : x - Step 2: Convert to fraction form
77,692/169,964 = 169,964/x - Step 3: Cross multiply
77,692x = 169,964 × 169,964 - Step 4: Simplify right side
77,692x = 28,887,761,296 - Step 5: Solve for x
x = 28,887,761,296/77,692 - Step 6: Final answer
x = 371,824.14
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.