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Finding the Third Proportional to 41,908 and 90,378

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Solution

The third proportional to 41,908 and 90,378 is: 194,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,908 : 90,378 = 90,378 : x
  2. Step 2: Convert to fraction form
    41,908/90,378 = 90,378/x
  3. Step 3: Cross multiply
    41,908x = 90,378 × 90,378
  4. Step 4: Simplify right side
    41,908x = 8,168,182,884
  5. Step 5: Solve for x
    x = 8,168,182,884/41,908
  6. Step 6: Final answer
    x = 194,907.49

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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.