Finding the Third Proportional to 81,462 and 174,021
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Solution
The third proportional to 81,462 and 174,021 is: 371,747.67
Step by Step Solution
- Step 1: Write the proportion equation
81,462 : 174,021 = 174,021 : x - Step 2: Convert to fraction form
81,462/174,021 = 174,021/x - Step 3: Cross multiply
81,462x = 174,021 × 174,021 - Step 4: Simplify right side
81,462x = 30,283,308,441 - Step 5: Solve for x
x = 30,283,308,441/81,462 - Step 6: Final answer
x = 371,747.67
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.