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Finding the Third Proportional to 50,122.50 and 103,422

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Solution

The third proportional to 50,122.50 and 103,422 is: 213,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,122.50 : 103,422 = 103,422 : x
  2. Step 2: Convert to fraction form
    50,122.50/103,422 = 103,422/x
  3. Step 3: Cross multiply
    50,122.50x = 103,422 × 103,422
  4. Step 4: Simplify right side
    50,122.50x = 10,696,110,084
  5. Step 5: Solve for x
    x = 10,696,110,084/50,122.50
  6. Step 6: Final answer
    x = 213,399.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.