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Finding the Third Proportional to 41,560 and 91,422

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Solution

The third proportional to 41,560 and 91,422 is: 201,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,560 : 91,422 = 91,422 : x
  2. Step 2: Convert to fraction form
    41,560/91,422 = 91,422/x
  3. Step 3: Cross multiply
    41,560x = 91,422 × 91,422
  4. Step 4: Simplify right side
    41,560x = 8,357,982,084
  5. Step 5: Solve for x
    x = 8,357,982,084/41,560
  6. Step 6: Final answer
    x = 201,106.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.