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Finding the Third Proportional to 50,600 and 110,920

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Solution

The third proportional to 50,600 and 110,920 is: 243,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,600 : 110,920 = 110,920 : x
  2. Step 2: Convert to fraction form
    50,600/110,920 = 110,920/x
  3. Step 3: Cross multiply
    50,600x = 110,920 × 110,920
  4. Step 4: Simplify right side
    50,600x = 12,303,246,400
  5. Step 5: Solve for x
    x = 12,303,246,400/50,600
  6. Step 6: Final answer
    x = 243,147.16

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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.