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Finding the Third Proportional to 50,004 and 106,920

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Solution

The third proportional to 50,004 and 106,920 is: 228,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,004 : 106,920 = 106,920 : x
  2. Step 2: Convert to fraction form
    50,004/106,920 = 106,920/x
  3. Step 3: Cross multiply
    50,004x = 106,920 × 106,920
  4. Step 4: Simplify right side
    50,004x = 11,431,886,400
  5. Step 5: Solve for x
    x = 11,431,886,400/50,004
  6. Step 6: Final answer
    x = 228,619.44

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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.