Finding the Third Proportional to 100,176.75 and 156,009.75
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Solution
The third proportional to 100,176.75 and 156,009.75 is: 242,960.99
Step by Step Solution
- Step 1: Write the proportion equation
100,176.75 : 156,009.75 = 156,009.75 : x - Step 2: Convert to fraction form
100,176.75/156,009.75 = 156,009.75/x - Step 3: Cross multiply
100,176.75x = 156,009.75 × 156,009.75 - Step 4: Simplify right side
100,176.75x = 24,339,042,095.06 - Step 5: Solve for x
x = 24,339,042,095.06/100,176.75 - Step 6: Final answer
x = 242,960.99
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.