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Finding the Third Proportional to 50,781 and 111,408

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Solution

The third proportional to 50,781 and 111,408 is: 244,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,781 : 111,408 = 111,408 : x
  2. Step 2: Convert to fraction form
    50,781/111,408 = 111,408/x
  3. Step 3: Cross multiply
    50,781x = 111,408 × 111,408
  4. Step 4: Simplify right side
    50,781x = 12,411,742,464
  5. Step 5: Solve for x
    x = 12,411,742,464/50,781
  6. Step 6: Final answer
    x = 244,417.05

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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.