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Finding the Third Proportional to 41,042 and 87,700

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Solution

The third proportional to 41,042 and 87,700 is: 187,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,042 : 87,700 = 87,700 : x
  2. Step 2: Convert to fraction form
    41,042/87,700 = 87,700/x
  3. Step 3: Cross multiply
    41,042x = 87,700 × 87,700
  4. Step 4: Simplify right side
    41,042x = 7,691,290,000
  5. Step 5: Solve for x
    x = 7,691,290,000/41,042
  6. Step 6: Final answer
    x = 187,400.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.