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Finding the Third Proportional to 50,657 and 110,233

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Solution

The third proportional to 50,657 and 110,233 is: 239,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,657 : 110,233 = 110,233 : x
  2. Step 2: Convert to fraction form
    50,657/110,233 = 110,233/x
  3. Step 3: Cross multiply
    50,657x = 110,233 × 110,233
  4. Step 4: Simplify right side
    50,657x = 12,151,314,289
  5. Step 5: Solve for x
    x = 12,151,314,289/50,657
  6. Step 6: Final answer
    x = 239,874.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.