Finding the Third Proportional to 81,783 and 176,688
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Solution
The third proportional to 81,783 and 176,688 is: 381,725.41
Step by Step Solution
- Step 1: Write the proportion equation
81,783 : 176,688 = 176,688 : x - Step 2: Convert to fraction form
81,783/176,688 = 176,688/x - Step 3: Cross multiply
81,783x = 176,688 × 176,688 - Step 4: Simplify right side
81,783x = 31,218,649,344 - Step 5: Solve for x
x = 31,218,649,344/81,783 - Step 6: Final answer
x = 381,725.41
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.