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Finding the Third Proportional to 50,006 and 106,924

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Solution

The third proportional to 50,006 and 106,924 is: 228,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,006 : 106,924 = 106,924 : x
  2. Step 2: Convert to fraction form
    50,006/106,924 = 106,924/x
  3. Step 3: Cross multiply
    50,006x = 106,924 × 106,924
  4. Step 4: Simplify right side
    50,006x = 11,432,741,776
  5. Step 5: Solve for x
    x = 11,432,741,776/50,006
  6. Step 6: Final answer
    x = 228,627.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.