Finding the Third Proportional to 72,760 and 102,701
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Solution
The third proportional to 72,760 and 102,701 is: 144,962.83
Step by Step Solution
- Step 1: Write the proportion equation
72,760 : 102,701 = 102,701 : x - Step 2: Convert to fraction form
72,760/102,701 = 102,701/x - Step 3: Cross multiply
72,760x = 102,701 × 102,701 - Step 4: Simplify right side
72,760x = 10,547,495,401 - Step 5: Solve for x
x = 10,547,495,401/72,760 - Step 6: Final answer
x = 144,962.83
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.