Finding the Third Proportional to 31,202 and 71,237
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Solution
The third proportional to 31,202 and 71,237 is: 162,640.54
Step by Step Solution
- Step 1: Write the proportion equation
31,202 : 71,237 = 71,237 : x - Step 2: Convert to fraction form
31,202/71,237 = 71,237/x - Step 3: Cross multiply
31,202x = 71,237 × 71,237 - Step 4: Simplify right side
31,202x = 5,074,710,169 - Step 5: Solve for x
x = 5,074,710,169/31,202 - Step 6: Final answer
x = 162,640.54
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Why These Related Problems?
These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.