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Finding the Third Proportional to 41,195 and 88,600

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Solution

The third proportional to 41,195 and 88,600 is: 190,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,195 : 88,600 = 88,600 : x
  2. Step 2: Convert to fraction form
    41,195/88,600 = 88,600/x
  3. Step 3: Cross multiply
    41,195x = 88,600 × 88,600
  4. Step 4: Simplify right side
    41,195x = 7,849,960,000
  5. Step 5: Solve for x
    x = 7,849,960,000/41,195
  6. Step 6: Final answer
    x = 190,556.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.