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Finding the Third Proportional to 50,938 and 111,342

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Solution

The third proportional to 50,938 and 111,342 is: 243,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,938 : 111,342 = 111,342 : x
  2. Step 2: Convert to fraction form
    50,938/111,342 = 111,342/x
  3. Step 3: Cross multiply
    50,938x = 111,342 × 111,342
  4. Step 4: Simplify right side
    50,938x = 12,397,040,964
  5. Step 5: Solve for x
    x = 12,397,040,964/50,938
  6. Step 6: Final answer
    x = 243,375.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.