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Finding the Third Proportional to 41,340 and 87,072

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Solution

The third proportional to 41,340 and 87,072 is: 183,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,340 : 87,072 = 87,072 : x
  2. Step 2: Convert to fraction form
    41,340/87,072 = 87,072/x
  3. Step 3: Cross multiply
    41,340x = 87,072 × 87,072
  4. Step 4: Simplify right side
    41,340x = 7,581,533,184
  5. Step 5: Solve for x
    x = 7,581,533,184/41,340
  6. Step 6: Final answer
    x = 183,394.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.