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

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Solution

The third proportional to 50,600 and 110,600 is: 241,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,600 : 110,600 = 110,600 : x
  2. Step 2: Convert to fraction form
    50,600/110,600 = 110,600/x
  3. Step 3: Cross multiply
    50,600x = 110,600 × 110,600
  4. Step 4: Simplify right side
    50,600x = 12,232,360,000
  5. Step 5: Solve for x
    x = 12,232,360,000/50,600
  6. Step 6: Final answer
    x = 241,746.25

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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.