Finding the Third Proportional to 100,688 and 141,141
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Solution
The third proportional to 100,688 and 141,141 is: 197,846.63
Step by Step Solution
- Step 1: Write the proportion equation
100,688 : 141,141 = 141,141 : x - Step 2: Convert to fraction form
100,688/141,141 = 141,141/x - Step 3: Cross multiply
100,688x = 141,141 × 141,141 - Step 4: Simplify right side
100,688x = 19,920,781,881 - Step 5: Solve for x
x = 19,920,781,881/100,688 - Step 6: Final answer
x = 197,846.63
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.