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Finding the Third Proportional to 41,898 and 90,357

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Solution

The third proportional to 41,898 and 90,357 is: 194,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,898 : 90,357 = 90,357 : x
  2. Step 2: Convert to fraction form
    41,898/90,357 = 90,357/x
  3. Step 3: Cross multiply
    41,898x = 90,357 × 90,357
  4. Step 4: Simplify right side
    41,898x = 8,164,387,449
  5. Step 5: Solve for x
    x = 8,164,387,449/41,898
  6. Step 6: Final answer
    x = 194,863.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.